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Finding the Third Proportional to 162,384.75 and 243,577.13

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Solution

The third proportional to 162,384.75 and 243,577.13 is: 365,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,384.75 : 243,577.13 = 243,577.13 : x
  2. Step 2: Convert to fraction form
    162,384.75/243,577.13 = 243,577.13/x
  3. Step 3: Cross multiply
    162,384.75x = 243,577.13 × 243,577.13
  4. Step 4: Simplify right side
    162,384.75x = 59,329,815,823.27
  5. Step 5: Solve for x
    x = 59,329,815,823.27/162,384.75
  6. Step 6: Final answer
    x = 365,365.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.