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Finding the Third Proportional to 157,127 and 341,575

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Solution

The third proportional to 157,127 and 341,575 is: 742,542.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,127 : 341,575 = 341,575 : x
  2. Step 2: Convert to fraction form
    157,127/341,575 = 341,575/x
  3. Step 3: Cross multiply
    157,127x = 341,575 × 341,575
  4. Step 4: Simplify right side
    157,127x = 116,673,480,625
  5. Step 5: Solve for x
    x = 116,673,480,625/157,127
  6. Step 6: Final answer
    x = 742,542.53

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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.