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Finding the Third Proportional to 157,980 and 350,952

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Solution

The third proportional to 157,980 and 350,952 is: 779,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980 : 350,952 = 350,952 : x
  2. Step 2: Convert to fraction form
    157,980/350,952 = 350,952/x
  3. Step 3: Cross multiply
    157,980x = 350,952 × 350,952
  4. Step 4: Simplify right side
    157,980x = 123,167,306,304
  5. Step 5: Solve for x
    x = 123,167,306,304/157,980
  6. Step 6: Final answer
    x = 779,638.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.