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Finding the Third Proportional to 202,417.88 and 302,511.38

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Solution

The third proportional to 202,417.88 and 302,511.38 is: 452,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,417.88 : 302,511.38 = 302,511.38 : x
  2. Step 2: Convert to fraction form
    202,417.88/302,511.38 = 302,511.38/x
  3. Step 3: Cross multiply
    202,417.88x = 302,511.38 × 302,511.38
  4. Step 4: Simplify right side
    202,417.88x = 91,513,132,004.39
  5. Step 5: Solve for x
    x = 91,513,132,004.39/202,417.88
  6. Step 6: Final answer
    x = 452,100.05

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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.