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Finding the Third Proportional to 145,193.13 and 314,518.15

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Solution

The third proportional to 145,193.13 and 314,518.15 is: 681,310.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.13 : 314,518.15 = 314,518.15 : x
  2. Step 2: Convert to fraction form
    145,193.13/314,518.15 = 314,518.15/x
  3. Step 3: Cross multiply
    145,193.13x = 314,518.15 × 314,518.15
  4. Step 4: Simplify right side
    145,193.13x = 98,921,665,696.55
  5. Step 5: Solve for x
    x = 98,921,665,696.55/145,193.13
  6. Step 6: Final answer
    x = 681,310.91

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Why These Related Problems?

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