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Finding the Third Proportional to 110,702.75 and 237,153.25

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Solution

The third proportional to 110,702.75 and 237,153.25 is: 508,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,702.75 : 237,153.25 = 237,153.25 : x
  2. Step 2: Convert to fraction form
    110,702.75/237,153.25 = 237,153.25/x
  3. Step 3: Cross multiply
    110,702.75x = 237,153.25 × 237,153.25
  4. Step 4: Simplify right side
    110,702.75x = 56,241,663,985.56
  5. Step 5: Solve for x
    x = 56,241,663,985.56/110,702.75
  6. Step 6: Final answer
    x = 508,042.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.