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Finding the Third Proportional to 78,465.38 and 171,784.13

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Solution

The third proportional to 78,465.38 and 171,784.13 is: 376,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,465.38 : 171,784.13 = 171,784.13 : x
  2. Step 2: Convert to fraction form
    78,465.38/171,784.13 = 171,784.13/x
  3. Step 3: Cross multiply
    78,465.38x = 171,784.13 × 171,784.13
  4. Step 4: Simplify right side
    78,465.38x = 29,509,785,602.02
  5. Step 5: Solve for x
    x = 29,509,785,602.02/78,465.38
  6. Step 6: Final answer
    x = 376,086.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.