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Finding the Third Proportional to 162,811.13 and 348,985.69

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Solution

The third proportional to 162,811.13 and 348,985.69 is: 748,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,811.13 : 348,985.69 = 348,985.69 : x
  2. Step 2: Convert to fraction form
    162,811.13/348,985.69 = 348,985.69/x
  3. Step 3: Cross multiply
    162,811.13x = 348,985.69 × 348,985.69
  4. Step 4: Simplify right side
    162,811.13x = 121,791,010,079.85
  5. Step 5: Solve for x
    x = 121,791,010,079.85/162,811.13
  6. Step 6: Final answer
    x = 748,050.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.