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Finding the Third Proportional to 246,513 and 380,212.50

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Solution

The third proportional to 246,513 and 380,212.50 is: 586,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,513 : 380,212.50 = 380,212.50 : x
  2. Step 2: Convert to fraction form
    246,513/380,212.50 = 380,212.50/x
  3. Step 3: Cross multiply
    246,513x = 380,212.50 × 380,212.50
  4. Step 4: Simplify right side
    246,513x = 144,561,545,156.25
  5. Step 5: Solve for x
    x = 144,561,545,156.25/246,513
  6. Step 6: Final answer
    x = 586,425.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.