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Finding the Third Proportional to 162,500.06 and 362,341.13

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Solution

The third proportional to 162,500.06 and 362,341.13 is: 807,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,500.06 : 362,341.13 = 362,341.13 : x
  2. Step 2: Convert to fraction form
    162,500.06/362,341.13 = 362,341.13/x
  3. Step 3: Cross multiply
    162,500.06x = 362,341.13 × 362,341.13
  4. Step 4: Simplify right side
    162,500.06x = 131,291,090,866.27
  5. Step 5: Solve for x
    x = 131,291,090,866.27/162,500.06
  6. Step 6: Final answer
    x = 807,944.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.