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Finding the Third Proportional to 114,513.75 and 249,355.97

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Solution

The third proportional to 114,513.75 and 249,355.97 is: 542,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,513.75 : 249,355.97 = 249,355.97 : x
  2. Step 2: Convert to fraction form
    114,513.75/249,355.97 = 249,355.97/x
  3. Step 3: Cross multiply
    114,513.75x = 249,355.97 × 249,355.97
  4. Step 4: Simplify right side
    114,513.75x = 62,178,399,151.25
  5. Step 5: Solve for x
    x = 62,178,399,151.25/114,513.75
  6. Step 6: Final answer
    x = 542,977.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.