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Finding the Third Proportional to 169,692 and 357,952

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Solution

The third proportional to 169,692 and 357,952 is: 755,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,692 : 357,952 = 357,952 : x
  2. Step 2: Convert to fraction form
    169,692/357,952 = 357,952/x
  3. Step 3: Cross multiply
    169,692x = 357,952 × 357,952
  4. Step 4: Simplify right side
    169,692x = 128,129,634,304
  5. Step 5: Solve for x
    x = 128,129,634,304/169,692
  6. Step 6: Final answer
    x = 755,071.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.