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Finding the Third Proportional to 178,651.13 and 392,297.63

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Solution

The third proportional to 178,651.13 and 392,297.63 is: 861,441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,651.13 : 392,297.63 = 392,297.63 : x
  2. Step 2: Convert to fraction form
    178,651.13/392,297.63 = 392,297.63/x
  3. Step 3: Cross multiply
    178,651.13x = 392,297.63 × 392,297.63
  4. Step 4: Simplify right side
    178,651.13x = 153,897,426,580.64
  5. Step 5: Solve for x
    x = 153,897,426,580.64/178,651.13
  6. Step 6: Final answer
    x = 861,441.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.