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Finding the Third Proportional to 161,202 and 350,952

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Solution

The third proportional to 161,202 and 350,952 is: 764,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,202 : 350,952 = 350,952 : x
  2. Step 2: Convert to fraction form
    161,202/350,952 = 350,952/x
  3. Step 3: Cross multiply
    161,202x = 350,952 × 350,952
  4. Step 4: Simplify right side
    161,202x = 123,167,306,304
  5. Step 5: Solve for x
    x = 123,167,306,304/161,202
  6. Step 6: Final answer
    x = 764,055.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.