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Finding the Third Proportional to 157,073 and 348,976

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Solution

The third proportional to 157,073 and 348,976 is: 775,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,073 : 348,976 = 348,976 : x
  2. Step 2: Convert to fraction form
    157,073/348,976 = 348,976/x
  3. Step 3: Cross multiply
    157,073x = 348,976 × 348,976
  4. Step 4: Simplify right side
    157,073x = 121,784,248,576
  5. Step 5: Solve for x
    x = 121,784,248,576/157,073
  6. Step 6: Final answer
    x = 775,335.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.