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Finding the Third Proportional to 179,084 and 392,613

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Solution

The third proportional to 179,084 and 392,613 is: 860,741.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,084 : 392,613 = 392,613 : x
  2. Step 2: Convert to fraction form
    179,084/392,613 = 392,613/x
  3. Step 3: Cross multiply
    179,084x = 392,613 × 392,613
  4. Step 4: Simplify right side
    179,084x = 154,144,967,769
  5. Step 5: Solve for x
    x = 154,144,967,769/179,084
  6. Step 6: Final answer
    x = 860,741.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.