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Finding the Third Proportional to 178,270.88 and 272,980.13

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Solution

The third proportional to 178,270.88 and 272,980.13 is: 418,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,270.88 : 272,980.13 = 272,980.13 : x
  2. Step 2: Convert to fraction form
    178,270.88/272,980.13 = 272,980.13/x
  3. Step 3: Cross multiply
    178,270.88x = 272,980.13 × 272,980.13
  4. Step 4: Simplify right side
    178,270.88x = 74,518,148,645.02
  5. Step 5: Solve for x
    x = 74,518,148,645.02/178,270.88
  6. Step 6: Final answer
    x = 418,005.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.