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Finding the Third Proportional to 141,998 and 302,942

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Solution

The third proportional to 141,998 and 302,942 is: 646,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,998 : 302,942 = 302,942 : x
  2. Step 2: Convert to fraction form
    141,998/302,942 = 302,942/x
  3. Step 3: Cross multiply
    141,998x = 302,942 × 302,942
  4. Step 4: Simplify right side
    141,998x = 91,773,855,364
  5. Step 5: Solve for x
    x = 91,773,855,364/141,998
  6. Step 6: Final answer
    x = 646,303.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.