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Finding the Third Proportional to 184,560 and 284,710.13

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Solution

The third proportional to 184,560 and 284,710.13 is: 439,205.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560 : 284,710.13 = 284,710.13 : x
  2. Step 2: Convert to fraction form
    184,560/284,710.13 = 284,710.13/x
  3. Step 3: Cross multiply
    184,560x = 284,710.13 × 284,710.13
  4. Step 4: Simplify right side
    184,560x = 81,059,855,277.52
  5. Step 5: Solve for x
    x = 81,059,855,277.52/184,560
  6. Step 6: Final answer
    x = 439,205.98

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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.