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Finding the Third Proportional to 249,538.50 and 541,114.50

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Solution

The third proportional to 249,538.50 and 541,114.50 is: 1,173,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,538.50 : 541,114.50 = 541,114.50 : x
  2. Step 2: Convert to fraction form
    249,538.50/541,114.50 = 541,114.50/x
  3. Step 3: Cross multiply
    249,538.50x = 541,114.50 × 541,114.50
  4. Step 4: Simplify right side
    249,538.50x = 292,804,902,110.25
  5. Step 5: Solve for x
    x = 292,804,902,110.25/249,538.50
  6. Step 6: Final answer
    x = 1,173,385.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.