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Finding the Third Proportional to 249,655.50 and 546,018.75

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Solution

The third proportional to 249,655.50 and 546,018.75 is: 1,194,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,655.50 : 546,018.75 = 546,018.75 : x
  2. Step 2: Convert to fraction form
    249,655.50/546,018.75 = 546,018.75/x
  3. Step 3: Cross multiply
    249,655.50x = 546,018.75 × 546,018.75
  4. Step 4: Simplify right side
    249,655.50x = 298,136,475,351.56
  5. Step 5: Solve for x
    x = 298,136,475,351.56/249,655.50
  6. Step 6: Final answer
    x = 1,194,191.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.