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Finding the Third Proportional to 202,047.75 and 310,654.69

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Solution

The third proportional to 202,047.75 and 310,654.69 is: 477,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,047.75 : 310,654.69 = 310,654.69 : x
  2. Step 2: Convert to fraction form
    202,047.75/310,654.69 = 310,654.69/x
  3. Step 3: Cross multiply
    202,047.75x = 310,654.69 × 310,654.69
  4. Step 4: Simplify right side
    202,047.75x = 96,506,334,865.72
  5. Step 5: Solve for x
    x = 96,506,334,865.72/202,047.75
  6. Step 6: Final answer
    x = 477,641.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.