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Finding the Third Proportional to 147,818 and 325,160

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Solution

The third proportional to 147,818 and 325,160 is: 715,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,818 : 325,160 = 325,160 : x
  2. Step 2: Convert to fraction form
    147,818/325,160 = 325,160/x
  3. Step 3: Cross multiply
    147,818x = 325,160 × 325,160
  4. Step 4: Simplify right side
    147,818x = 105,729,025,600
  5. Step 5: Solve for x
    x = 105,729,025,600/147,818
  6. Step 6: Final answer
    x = 715,264.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.