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Finding the Third Proportional to 282,238 and 432,348

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Solution

The third proportional to 282,238 and 432,348 is: 662,294.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,238 : 432,348 = 432,348 : x
  2. Step 2: Convert to fraction form
    282,238/432,348 = 432,348/x
  3. Step 3: Cross multiply
    282,238x = 432,348 × 432,348
  4. Step 4: Simplify right side
    282,238x = 186,924,793,104
  5. Step 5: Solve for x
    x = 186,924,793,104/282,238
  6. Step 6: Final answer
    x = 662,294.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.