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Finding the Third Proportional to 158,355 and 329,815.13

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Solution

The third proportional to 158,355 and 329,815.13 is: 686,925.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,355 : 329,815.13 = 329,815.13 : x
  2. Step 2: Convert to fraction form
    158,355/329,815.13 = 329,815.13/x
  3. Step 3: Cross multiply
    158,355x = 329,815.13 × 329,815.13
  4. Step 4: Simplify right side
    158,355x = 108,778,016,678.77
  5. Step 5: Solve for x
    x = 108,778,016,678.77/158,355
  6. Step 6: Final answer
    x = 686,925.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.