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Finding the Third Proportional to 190,342.41 and 418,068.84

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Solution

The third proportional to 190,342.41 and 418,068.84 is: 918,248.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,342.41 : 418,068.84 = 418,068.84 : x
  2. Step 2: Convert to fraction form
    190,342.41/418,068.84 = 418,068.84/x
  3. Step 3: Cross multiply
    190,342.41x = 418,068.84 × 418,068.84
  4. Step 4: Simplify right side
    190,342.41x = 174,781,558,114.46
  5. Step 5: Solve for x
    x = 174,781,558,114.46/190,342.41
  6. Step 6: Final answer
    x = 918,248.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.