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Finding the Third Proportional to 147,870 and 320,652.56

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Solution

The third proportional to 147,870 and 320,652.56 is: 695,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,870 : 320,652.56 = 320,652.56 : x
  2. Step 2: Convert to fraction form
    147,870/320,652.56 = 320,652.56/x
  3. Step 3: Cross multiply
    147,870x = 320,652.56 × 320,652.56
  4. Step 4: Simplify right side
    147,870x = 102,818,065,837.82
  5. Step 5: Solve for x
    x = 102,818,065,837.82/147,870
  6. Step 6: Final answer
    x = 695,327.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.