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Finding the Third Proportional to 157,113 and 332,423

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Solution

The third proportional to 157,113 and 332,423 is: 703,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,113 : 332,423 = 332,423 : x
  2. Step 2: Convert to fraction form
    157,113/332,423 = 332,423/x
  3. Step 3: Cross multiply
    157,113x = 332,423 × 332,423
  4. Step 4: Simplify right side
    157,113x = 110,505,050,929
  5. Step 5: Solve for x
    x = 110,505,050,929/157,113
  6. Step 6: Final answer
    x = 703,347.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.