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Finding the Third Proportional to 108,702.84 and 233,475.75

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Solution

The third proportional to 108,702.84 and 233,475.75 is: 501,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,702.84 : 233,475.75 = 233,475.75 : x
  2. Step 2: Convert to fraction form
    108,702.84/233,475.75 = 233,475.75/x
  3. Step 3: Cross multiply
    108,702.84x = 233,475.75 × 233,475.75
  4. Step 4: Simplify right side
    108,702.84x = 54,510,925,838.06
  5. Step 5: Solve for x
    x = 54,510,925,838.06/108,702.84
  6. Step 6: Final answer
    x = 501,467.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.