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Finding the Third Proportional to 202,412.25 and 297,050.63

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Solution

The third proportional to 202,412.25 and 297,050.63 is: 435,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,412.25 : 297,050.63 = 297,050.63 : x
  2. Step 2: Convert to fraction form
    202,412.25/297,050.63 = 297,050.63/x
  3. Step 3: Cross multiply
    202,412.25x = 297,050.63 × 297,050.63
  4. Step 4: Simplify right side
    202,412.25x = 88,239,073,812.89
  5. Step 5: Solve for x
    x = 88,239,073,812.89/202,412.25
  6. Step 6: Final answer
    x = 435,937.42

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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.