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Finding the Third Proportional to 200,732 and 293,560

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Solution

The third proportional to 200,732 and 293,560 is: 429,316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732 : 293,560 = 293,560 : x
  2. Step 2: Convert to fraction form
    200,732/293,560 = 293,560/x
  3. Step 3: Cross multiply
    200,732x = 293,560 × 293,560
  4. Step 4: Simplify right side
    200,732x = 86,177,473,600
  5. Step 5: Solve for x
    x = 86,177,473,600/200,732
  6. Step 6: Final answer
    x = 429,316.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.