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Finding the Third Proportional to 165,664.13 and 249,877.13

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Solution

The third proportional to 165,664.13 and 249,877.13 is: 376,898.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,664.13 : 249,877.13 = 249,877.13 : x
  2. Step 2: Convert to fraction form
    165,664.13/249,877.13 = 249,877.13/x
  3. Step 3: Cross multiply
    165,664.13x = 249,877.13 × 249,877.13
  4. Step 4: Simplify right side
    165,664.13x = 62,438,577,598.27
  5. Step 5: Solve for x
    x = 62,438,577,598.27/165,664.13
  6. Step 6: Final answer
    x = 376,898.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.