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Finding the Third Proportional to 105,334.17 and 230,374.76

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Solution

The third proportional to 105,334.17 and 230,374.76 is: 503,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,334.17 : 230,374.76 = 230,374.76 : x
  2. Step 2: Convert to fraction form
    105,334.17/230,374.76 = 230,374.76/x
  3. Step 3: Cross multiply
    105,334.17x = 230,374.76 × 230,374.76
  4. Step 4: Simplify right side
    105,334.17x = 53,072,529,037.17
  5. Step 5: Solve for x
    x = 53,072,529,037.17/105,334.17
  6. Step 6: Final answer
    x = 503,849.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.