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Finding the Third Proportional to 202,406.63 and 297,042.19

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Solution

The third proportional to 202,406.63 and 297,042.19 is: 435,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406.63 : 297,042.19 = 297,042.19 : x
  2. Step 2: Convert to fraction form
    202,406.63/297,042.19 = 297,042.19/x
  3. Step 3: Cross multiply
    202,406.63x = 297,042.19 × 297,042.19
  4. Step 4: Simplify right side
    202,406.63x = 88,234,061,154.79
  5. Step 5: Solve for x
    x = 88,234,061,154.79/202,406.63
  6. Step 6: Final answer
    x = 435,924.77

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.