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Finding the Third Proportional to 109,698 and 237,386

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Solution

The third proportional to 109,698 and 237,386 is: 513,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,698 : 237,386 = 237,386 : x
  2. Step 2: Convert to fraction form
    109,698/237,386 = 237,386/x
  3. Step 3: Cross multiply
    109,698x = 237,386 × 237,386
  4. Step 4: Simplify right side
    109,698x = 56,352,112,996
  5. Step 5: Solve for x
    x = 56,352,112,996/109,698
  6. Step 6: Final answer
    x = 513,702.28

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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.