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Finding the Third Proportional to 310,091.06 and 466,951.50

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Solution

The third proportional to 310,091.06 and 466,951.50 is: 703,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,091.06 : 466,951.50 = 466,951.50 : x
  2. Step 2: Convert to fraction form
    310,091.06/466,951.50 = 466,951.50/x
  3. Step 3: Cross multiply
    310,091.06x = 466,951.50 × 466,951.50
  4. Step 4: Simplify right side
    310,091.06x = 218,043,703,352.25
  5. Step 5: Solve for x
    x = 218,043,703,352.25/310,091.06
  6. Step 6: Final answer
    x = 703,160.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.