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Finding the Third Proportional to 178,630 and 242,585

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Solution

The third proportional to 178,630 and 242,585 is: 329,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,630 : 242,585 = 242,585 : x
  2. Step 2: Convert to fraction form
    178,630/242,585 = 242,585/x
  3. Step 3: Cross multiply
    178,630x = 242,585 × 242,585
  4. Step 4: Simplify right side
    178,630x = 58,847,482,225
  5. Step 5: Solve for x
    x = 58,847,482,225/178,630
  6. Step 6: Final answer
    x = 329,437.84

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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.