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Finding the Third Proportional to 195,528 and 292,419

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Solution

The third proportional to 195,528 and 292,419 is: 437,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,528 : 292,419 = 292,419 : x
  2. Step 2: Convert to fraction form
    195,528/292,419 = 292,419/x
  3. Step 3: Cross multiply
    195,528x = 292,419 × 292,419
  4. Step 4: Simplify right side
    195,528x = 85,508,871,561
  5. Step 5: Solve for x
    x = 85,508,871,561/195,528
  6. Step 6: Final answer
    x = 437,322.90

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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.