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Finding the Third Proportional to 98,412 and 212,382

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Solution

The third proportional to 98,412 and 212,382 is: 458,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,412 : 212,382 = 212,382 : x
  2. Step 2: Convert to fraction form
    98,412/212,382 = 212,382/x
  3. Step 3: Cross multiply
    98,412x = 212,382 × 212,382
  4. Step 4: Simplify right side
    98,412x = 45,106,113,924
  5. Step 5: Solve for x
    x = 45,106,113,924/98,412
  6. Step 6: Final answer
    x = 458,339.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.