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Finding the Third Proportional to 246,780 and 373,207.50

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Solution

The third proportional to 246,780 and 373,207.50 is: 564,404.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,780 : 373,207.50 = 373,207.50 : x
  2. Step 2: Convert to fraction form
    246,780/373,207.50 = 373,207.50/x
  3. Step 3: Cross multiply
    246,780x = 373,207.50 × 373,207.50
  4. Step 4: Simplify right side
    246,780x = 139,283,838,056.25
  5. Step 5: Solve for x
    x = 139,283,838,056.25/246,780
  6. Step 6: Final answer
    x = 564,404.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.