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Finding the Third Proportional to 162,577.13 and 353,094.19

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Solution

The third proportional to 162,577.13 and 353,094.19 is: 766,869.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,577.13 : 353,094.19 = 353,094.19 : x
  2. Step 2: Convert to fraction form
    162,577.13/353,094.19 = 353,094.19/x
  3. Step 3: Cross multiply
    162,577.13x = 353,094.19 × 353,094.19
  4. Step 4: Simplify right side
    162,577.13x = 124,675,505,246.29
  5. Step 5: Solve for x
    x = 124,675,505,246.29/162,577.13
  6. Step 6: Final answer
    x = 766,869.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.