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Finding the Third Proportional to 202,160.81 and 306,931.78

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Solution

The third proportional to 202,160.81 and 306,931.78 is: 466,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,160.81 : 306,931.78 = 306,931.78 : x
  2. Step 2: Convert to fraction form
    202,160.81/306,931.78 = 306,931.78/x
  3. Step 3: Cross multiply
    202,160.81x = 306,931.78 × 306,931.78
  4. Step 4: Simplify right side
    202,160.81x = 94,207,118,341.30
  5. Step 5: Solve for x
    x = 94,207,118,341.30/202,160.81
  6. Step 6: Final answer
    x = 466,000.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.