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Finding the Third Proportional to 157,126 and 341,574

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Solution

The third proportional to 157,126 and 341,574 is: 742,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,126 : 341,574 = 341,574 : x
  2. Step 2: Convert to fraction form
    157,126/341,574 = 341,574/x
  3. Step 3: Cross multiply
    157,126x = 341,574 × 341,574
  4. Step 4: Simplify right side
    157,126x = 116,672,797,476
  5. Step 5: Solve for x
    x = 116,672,797,476/157,126
  6. Step 6: Final answer
    x = 742,542.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.