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Finding the Third Proportional to 116,500 and 249,604

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Solution

The third proportional to 116,500 and 249,604 is: 534,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,500 : 249,604 = 249,604 : x
  2. Step 2: Convert to fraction form
    116,500/249,604 = 249,604/x
  3. Step 3: Cross multiply
    116,500x = 249,604 × 249,604
  4. Step 4: Simplify right side
    116,500x = 62,302,156,816
  5. Step 5: Solve for x
    x = 62,302,156,816/116,500
  6. Step 6: Final answer
    x = 534,782.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.