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Finding the Third Proportional to 310,189.50 and 467,876.25

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Solution

The third proportional to 310,189.50 and 467,876.25 is: 705,724.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,189.50 : 467,876.25 = 467,876.25 : x
  2. Step 2: Convert to fraction form
    310,189.50/467,876.25 = 467,876.25/x
  3. Step 3: Cross multiply
    310,189.50x = 467,876.25 × 467,876.25
  4. Step 4: Simplify right side
    310,189.50x = 218,908,185,314.06
  5. Step 5: Solve for x
    x = 218,908,185,314.06/310,189.50
  6. Step 6: Final answer
    x = 705,724.03

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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.