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Finding the Third Proportional to 141,871.50 and 302,697

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Solution

The third proportional to 141,871.50 and 302,697 is: 645,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,871.50 : 302,697 = 302,697 : x
  2. Step 2: Convert to fraction form
    141,871.50/302,697 = 302,697/x
  3. Step 3: Cross multiply
    141,871.50x = 302,697 × 302,697
  4. Step 4: Simplify right side
    141,871.50x = 91,625,473,809
  5. Step 5: Solve for x
    x = 91,625,473,809/141,871.50
  6. Step 6: Final answer
    x = 645,834.25

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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.