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Finding the Third Proportional to 200,730 and 293,557

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Solution

The third proportional to 200,730 and 293,557 is: 429,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730 : 293,557 = 293,557 : x
  2. Step 2: Convert to fraction form
    200,730/293,557 = 293,557/x
  3. Step 3: Cross multiply
    200,730x = 293,557 × 293,557
  4. Step 4: Simplify right side
    200,730x = 86,175,712,249
  5. Step 5: Solve for x
    x = 86,175,712,249/200,730
  6. Step 6: Final answer
    x = 429,311.57

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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.