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Finding the Third Proportional to 202,024 and 299,130

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Solution

The third proportional to 202,024 and 299,130 is: 442,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,024 : 299,130 = 299,130 : x
  2. Step 2: Convert to fraction form
    202,024/299,130 = 299,130/x
  3. Step 3: Cross multiply
    202,024x = 299,130 × 299,130
  4. Step 4: Simplify right side
    202,024x = 89,478,756,900
  5. Step 5: Solve for x
    x = 89,478,756,900/202,024
  6. Step 6: Final answer
    x = 442,911.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.