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Finding the Third Proportional to 249,655.50 and 353,256.19

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Solution

The third proportional to 249,655.50 and 353,256.19 is: 499,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,655.50 : 353,256.19 = 353,256.19 : x
  2. Step 2: Convert to fraction form
    249,655.50/353,256.19 = 353,256.19/x
  3. Step 3: Cross multiply
    249,655.50x = 353,256.19 × 353,256.19
  4. Step 4: Simplify right side
    249,655.50x = 124,789,934,007.04
  5. Step 5: Solve for x
    x = 124,789,934,007.04/249,655.50
  6. Step 6: Final answer
    x = 499,848.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.