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Finding the Third Proportional to 157,925 and 345,373

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Solution

The third proportional to 157,925 and 345,373 is: 755,311.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,925 : 345,373 = 345,373 : x
  2. Step 2: Convert to fraction form
    157,925/345,373 = 345,373/x
  3. Step 3: Cross multiply
    157,925x = 345,373 × 345,373
  4. Step 4: Simplify right side
    157,925x = 119,282,509,129
  5. Step 5: Solve for x
    x = 119,282,509,129/157,925
  6. Step 6: Final answer
    x = 755,311.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.