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Finding the Third Proportional to 157,513.50 and 252,671

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Solution

The third proportional to 157,513.50 and 252,671 is: 405,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,513.50 : 252,671 = 252,671 : x
  2. Step 2: Convert to fraction form
    157,513.50/252,671 = 252,671/x
  3. Step 3: Cross multiply
    157,513.50x = 252,671 × 252,671
  4. Step 4: Simplify right side
    157,513.50x = 63,842,634,241
  5. Step 5: Solve for x
    x = 63,842,634,241/157,513.50
  6. Step 6: Final answer
    x = 405,315.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.