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Finding the Third Proportional to 162,202.50 and 353,656.13

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Solution

The third proportional to 162,202.50 and 353,656.13 is: 771,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,202.50 : 353,656.13 = 353,656.13 : x
  2. Step 2: Convert to fraction form
    162,202.50/353,656.13 = 353,656.13/x
  3. Step 3: Cross multiply
    162,202.50x = 353,656.13 × 353,656.13
  4. Step 4: Simplify right side
    162,202.50x = 125,072,654,750.02
  5. Step 5: Solve for x
    x = 125,072,654,750.02/162,202.50
  6. Step 6: Final answer
    x = 771,089.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.