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Finding the Third Proportional to 98,642.81 and 238,508.30

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Solution

The third proportional to 98,642.81 and 238,508.30 is: 576,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642.81 : 238,508.30 = 238,508.30 : x
  2. Step 2: Convert to fraction form
    98,642.81/238,508.30 = 238,508.30/x
  3. Step 3: Cross multiply
    98,642.81x = 238,508.30 × 238,508.30
  4. Step 4: Simplify right side
    98,642.81x = 56,886,207,678.21
  5. Step 5: Solve for x
    x = 56,886,207,678.21/98,642.81
  6. Step 6: Final answer
    x = 576,688.83

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.