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Finding the Third Proportional to 98,952 and 233,466

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Solution

The third proportional to 98,952 and 233,466 is: 550,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,952 : 233,466 = 233,466 : x
  2. Step 2: Convert to fraction form
    98,952/233,466 = 233,466/x
  3. Step 3: Cross multiply
    98,952x = 233,466 × 233,466
  4. Step 4: Simplify right side
    98,952x = 54,506,373,156
  5. Step 5: Solve for x
    x = 54,506,373,156/98,952
  6. Step 6: Final answer
    x = 550,836.50

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.