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Finding the Third Proportional to 131,374.50 and 272,092.50

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Solution

The third proportional to 131,374.50 and 272,092.50 is: 563,536.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,374.50 : 272,092.50 = 272,092.50 : x
  2. Step 2: Convert to fraction form
    131,374.50/272,092.50 = 272,092.50/x
  3. Step 3: Cross multiply
    131,374.50x = 272,092.50 × 272,092.50
  4. Step 4: Simplify right side
    131,374.50x = 74,034,328,556.25
  5. Step 5: Solve for x
    x = 74,034,328,556.25/131,374.50
  6. Step 6: Final answer
    x = 563,536.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.