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Finding the Third Proportional to 162,925.13 and 340,747.13

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Solution

The third proportional to 162,925.13 and 340,747.13 is: 712,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,925.13 : 340,747.13 = 340,747.13 : x
  2. Step 2: Convert to fraction form
    162,925.13/340,747.13 = 340,747.13/x
  3. Step 3: Cross multiply
    162,925.13x = 340,747.13 × 340,747.13
  4. Step 4: Simplify right side
    162,925.13x = 116,108,603,195.77
  5. Step 5: Solve for x
    x = 116,108,603,195.77/162,925.13
  6. Step 6: Final answer
    x = 712,650.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.