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Finding the Third Proportional to 117,569 and 249,664

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Solution

The third proportional to 117,569 and 249,664 is: 530,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,569 : 249,664 = 249,664 : x
  2. Step 2: Convert to fraction form
    117,569/249,664 = 249,664/x
  3. Step 3: Cross multiply
    117,569x = 249,664 × 249,664
  4. Step 4: Simplify right side
    117,569x = 62,332,112,896
  5. Step 5: Solve for x
    x = 62,332,112,896/117,569
  6. Step 6: Final answer
    x = 530,174.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.