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Finding the Third Proportional to 202,340.25 and 296,949.38

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Solution

The third proportional to 202,340.25 and 296,949.38 is: 435,795.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,340.25 : 296,949.38 = 296,949.38 : x
  2. Step 2: Convert to fraction form
    202,340.25/296,949.38 = 296,949.38/x
  3. Step 3: Cross multiply
    202,340.25x = 296,949.38 × 296,949.38
  4. Step 4: Simplify right side
    202,340.25x = 88,178,931,312.89
  5. Step 5: Solve for x
    x = 88,178,931,312.89/202,340.25
  6. Step 6: Final answer
    x = 435,795.31

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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.