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Finding the Third Proportional to 113,580.84 and 238,932.84

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Solution

The third proportional to 113,580.84 and 238,932.84 is: 502,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,580.84 : 238,932.84 = 238,932.84 : x
  2. Step 2: Convert to fraction form
    113,580.84/238,932.84 = 238,932.84/x
  3. Step 3: Cross multiply
    113,580.84x = 238,932.84 × 238,932.84
  4. Step 4: Simplify right side
    113,580.84x = 57,088,903,822.46
  5. Step 5: Solve for x
    x = 57,088,903,822.46/113,580.84
  6. Step 6: Final answer
    x = 502,627.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.