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Finding the Third Proportional to 116,480 and 249,580

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Solution

The third proportional to 116,480 and 249,580 is: 534,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,480 : 249,580 = 249,580 : x
  2. Step 2: Convert to fraction form
    116,480/249,580 = 249,580/x
  3. Step 3: Cross multiply
    116,480x = 249,580 × 249,580
  4. Step 4: Simplify right side
    116,480x = 62,290,176,400
  5. Step 5: Solve for x
    x = 62,290,176,400/116,480
  6. Step 6: Final answer
    x = 534,771.43

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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.