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Finding the Third Proportional to 147,719.25 and 322,166.25

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Solution

The third proportional to 147,719.25 and 322,166.25 is: 702,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,719.25 : 322,166.25 = 322,166.25 : x
  2. Step 2: Convert to fraction form
    147,719.25/322,166.25 = 322,166.25/x
  3. Step 3: Cross multiply
    147,719.25x = 322,166.25 × 322,166.25
  4. Step 4: Simplify right side
    147,719.25x = 103,791,092,639.06
  5. Step 5: Solve for x
    x = 103,791,092,639.06/147,719.25
  6. Step 6: Final answer
    x = 702,624.02

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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.