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Finding the Third Proportional to 202,423.88 and 302,520.13

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Solution

The third proportional to 202,423.88 and 302,520.13 is: 452,112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423.88 : 302,520.13 = 302,520.13 : x
  2. Step 2: Convert to fraction form
    202,423.88/302,520.13 = 302,520.13/x
  3. Step 3: Cross multiply
    202,423.88x = 302,520.13 × 302,520.13
  4. Step 4: Simplify right side
    202,423.88x = 91,518,426,030.02
  5. Step 5: Solve for x
    x = 91,518,426,030.02/202,423.88
  6. Step 6: Final answer
    x = 452,112.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.