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Finding the Third Proportional to 200,124 and 304,312

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Solution

The third proportional to 200,124 and 304,312 is: 462,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,124 : 304,312 = 304,312 : x
  2. Step 2: Convert to fraction form
    200,124/304,312 = 304,312/x
  3. Step 3: Cross multiply
    200,124x = 304,312 × 304,312
  4. Step 4: Simplify right side
    200,124x = 92,605,793,344
  5. Step 5: Solve for x
    x = 92,605,793,344/200,124
  6. Step 6: Final answer
    x = 462,742.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.