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Finding the Third Proportional to 202,468 and 302,060

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Solution

The third proportional to 202,468 and 302,060 is: 450,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468 : 302,060 = 302,060 : x
  2. Step 2: Convert to fraction form
    202,468/302,060 = 302,060/x
  3. Step 3: Cross multiply
    202,468x = 302,060 × 302,060
  4. Step 4: Simplify right side
    202,468x = 91,240,243,600
  5. Step 5: Solve for x
    x = 91,240,243,600/202,468
  6. Step 6: Final answer
    x = 450,640.32

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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.