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Finding the Third Proportional to 178,426.13 and 260,938.13

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Solution

The third proportional to 178,426.13 and 260,938.13 is: 381,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,426.13 : 260,938.13 = 260,938.13 : x
  2. Step 2: Convert to fraction form
    178,426.13/260,938.13 = 260,938.13/x
  3. Step 3: Cross multiply
    178,426.13x = 260,938.13 × 260,938.13
  4. Step 4: Simplify right side
    178,426.13x = 68,088,705,078.52
  5. Step 5: Solve for x
    x = 68,088,705,078.52/178,426.13
  6. Step 6: Final answer
    x = 381,607.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.