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Finding the Third Proportional to 157,122 and 341,565

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Solution

The third proportional to 157,122 and 341,565 is: 742,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,122 : 341,565 = 341,565 : x
  2. Step 2: Convert to fraction form
    157,122/341,565 = 341,565/x
  3. Step 3: Cross multiply
    157,122x = 341,565 × 341,565
  4. Step 4: Simplify right side
    157,122x = 116,666,649,225
  5. Step 5: Solve for x
    x = 116,666,649,225/157,122
  6. Step 6: Final answer
    x = 742,522.68

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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.