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Finding the Third Proportional to 156,466 and 235,428

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Solution

The third proportional to 156,466 and 235,428 is: 354,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,466 : 235,428 = 235,428 : x
  2. Step 2: Convert to fraction form
    156,466/235,428 = 235,428/x
  3. Step 3: Cross multiply
    156,466x = 235,428 × 235,428
  4. Step 4: Simplify right side
    156,466x = 55,426,343,184
  5. Step 5: Solve for x
    x = 55,426,343,184/156,466
  6. Step 6: Final answer
    x = 354,238.90

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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.