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Finding the Third Proportional to 156,697.88 and 235,045.13

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Solution

The third proportional to 156,697.88 and 235,045.13 is: 352,565.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,697.88 : 235,045.13 = 235,045.13 : x
  2. Step 2: Convert to fraction form
    156,697.88/235,045.13 = 235,045.13/x
  3. Step 3: Cross multiply
    156,697.88x = 235,045.13 × 235,045.13
  4. Step 4: Simplify right side
    156,697.88x = 55,246,210,786.27
  5. Step 5: Solve for x
    x = 55,246,210,786.27/156,697.88
  6. Step 6: Final answer
    x = 352,565.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.