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Finding the Third Proportional to 178,602 and 242,565

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Solution

The third proportional to 178,602 and 242,565 is: 329,435.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,602 : 242,565 = 242,565 : x
  2. Step 2: Convert to fraction form
    178,602/242,565 = 242,565/x
  3. Step 3: Cross multiply
    178,602x = 242,565 × 242,565
  4. Step 4: Simplify right side
    178,602x = 58,837,779,225
  5. Step 5: Solve for x
    x = 58,837,779,225/178,602
  6. Step 6: Final answer
    x = 329,435.16

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.