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Finding the Third Proportional to 200,723 and 295,540

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Solution

The third proportional to 200,723 and 295,540 is: 435,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723 : 295,540 = 295,540 : x
  2. Step 2: Convert to fraction form
    200,723/295,540 = 295,540/x
  3. Step 3: Cross multiply
    200,723x = 295,540 × 295,540
  4. Step 4: Simplify right side
    200,723x = 87,343,891,600
  5. Step 5: Solve for x
    x = 87,343,891,600/200,723
  6. Step 6: Final answer
    x = 435,146.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.