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Finding the Third Proportional to 157,458 and 341,160

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Solution

The third proportional to 157,458 and 341,160 is: 739,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,458 : 341,160 = 341,160 : x
  2. Step 2: Convert to fraction form
    157,458/341,160 = 341,160/x
  3. Step 3: Cross multiply
    157,458x = 341,160 × 341,160
  4. Step 4: Simplify right side
    157,458x = 116,390,145,600
  5. Step 5: Solve for x
    x = 116,390,145,600/157,458
  6. Step 6: Final answer
    x = 739,182.17

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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.