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Finding the Third Proportional to 157,537 and 345,692

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Solution

The third proportional to 157,537 and 345,692 is: 758,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,537 : 345,692 = 345,692 : x
  2. Step 2: Convert to fraction form
    157,537/345,692 = 345,692/x
  3. Step 3: Cross multiply
    157,537x = 345,692 × 345,692
  4. Step 4: Simplify right side
    157,537x = 119,502,958,864
  5. Step 5: Solve for x
    x = 119,502,958,864/157,537
  6. Step 6: Final answer
    x = 758,570.74

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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.