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Finding the Third Proportional to 157,574 and 236,471

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Solution

The third proportional to 157,574 and 236,471 is: 354,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,574 : 236,471 = 236,471 : x
  2. Step 2: Convert to fraction form
    157,574/236,471 = 236,471/x
  3. Step 3: Cross multiply
    157,574x = 236,471 × 236,471
  4. Step 4: Simplify right side
    157,574x = 55,918,533,841
  5. Step 5: Solve for x
    x = 55,918,533,841/157,574
  6. Step 6: Final answer
    x = 354,871.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.