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Finding the Third Proportional to 114,007 and 249,440

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Solution

The third proportional to 114,007 and 249,440 is: 545,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,007 : 249,440 = 249,440 : x
  2. Step 2: Convert to fraction form
    114,007/249,440 = 249,440/x
  3. Step 3: Cross multiply
    114,007x = 249,440 × 249,440
  4. Step 4: Simplify right side
    114,007x = 62,220,313,600
  5. Step 5: Solve for x
    x = 62,220,313,600/114,007
  6. Step 6: Final answer
    x = 545,758.71

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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.