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Finding the Third Proportional to 131,806.13 and 272,958

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Solution

The third proportional to 131,806.13 and 272,958 is: 565,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,806.13 : 272,958 = 272,958 : x
  2. Step 2: Convert to fraction form
    131,806.13/272,958 = 272,958/x
  3. Step 3: Cross multiply
    131,806.13x = 272,958 × 272,958
  4. Step 4: Simplify right side
    131,806.13x = 74,506,069,764
  5. Step 5: Solve for x
    x = 74,506,069,764/131,806.13
  6. Step 6: Final answer
    x = 565,270.16

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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.