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Finding the Third Proportional to 202,365 and 292,359

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Solution

The third proportional to 202,365 and 292,359 is: 422,374.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,365 : 292,359 = 292,359 : x
  2. Step 2: Convert to fraction form
    202,365/292,359 = 292,359/x
  3. Step 3: Cross multiply
    202,365x = 292,359 × 292,359
  4. Step 4: Simplify right side
    202,365x = 85,473,784,881
  5. Step 5: Solve for x
    x = 85,473,784,881/202,365
  6. Step 6: Final answer
    x = 422,374.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.