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Finding the Third Proportional to 147,706.03 and 322,145.86

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Solution

The third proportional to 147,706.03 and 322,145.86 is: 702,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,706.03 : 322,145.86 = 322,145.86 : x
  2. Step 2: Convert to fraction form
    147,706.03/322,145.86 = 322,145.86/x
  3. Step 3: Cross multiply
    147,706.03x = 322,145.86 × 322,145.86
  4. Step 4: Simplify right side
    147,706.03x = 103,777,954,712.46
  5. Step 5: Solve for x
    x = 103,777,954,712.46/147,706.03
  6. Step 6: Final answer
    x = 702,597.95

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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.