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Finding the Third Proportional to 193,545 and 299,065.50

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Solution

The third proportional to 193,545 and 299,065.50 is: 462,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,545 : 299,065.50 = 299,065.50 : x
  2. Step 2: Convert to fraction form
    193,545/299,065.50 = 299,065.50/x
  3. Step 3: Cross multiply
    193,545x = 299,065.50 × 299,065.50
  4. Step 4: Simplify right side
    193,545x = 89,440,173,290.25
  5. Step 5: Solve for x
    x = 89,440,173,290.25/193,545
  6. Step 6: Final answer
    x = 462,115.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.