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Finding the Third Proportional to 115,590 and 249,792

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Solution

The third proportional to 115,590 and 249,792 is: 539,804.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,590 : 249,792 = 249,792 : x
  2. Step 2: Convert to fraction form
    115,590/249,792 = 249,792/x
  3. Step 3: Cross multiply
    115,590x = 249,792 × 249,792
  4. Step 4: Simplify right side
    115,590x = 62,396,043,264
  5. Step 5: Solve for x
    x = 62,396,043,264/115,590
  6. Step 6: Final answer
    x = 539,804.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.