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Finding the Third Proportional to 156,681 and 235,369

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Solution

The third proportional to 156,681 and 235,369 is: 353,575.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,681 : 235,369 = 235,369 : x
  2. Step 2: Convert to fraction form
    156,681/235,369 = 235,369/x
  3. Step 3: Cross multiply
    156,681x = 235,369 × 235,369
  4. Step 4: Simplify right side
    156,681x = 55,398,566,161
  5. Step 5: Solve for x
    x = 55,398,566,161/156,681
  6. Step 6: Final answer
    x = 353,575.52

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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.