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Finding the Third Proportional to 130,523.25 and 278,116.50

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Solution

The third proportional to 130,523.25 and 278,116.50 is: 592,605.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,523.25 : 278,116.50 = 278,116.50 : x
  2. Step 2: Convert to fraction form
    130,523.25/278,116.50 = 278,116.50/x
  3. Step 3: Cross multiply
    130,523.25x = 278,116.50 × 278,116.50
  4. Step 4: Simplify right side
    130,523.25x = 77,348,787,572.25
  5. Step 5: Solve for x
    x = 77,348,787,572.25/130,523.25
  6. Step 6: Final answer
    x = 592,605.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.