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Finding the Third Proportional to 152,442 and 404,635.50

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Solution

The third proportional to 152,442 and 404,635.50 is: 1,074,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,442 : 404,635.50 = 404,635.50 : x
  2. Step 2: Convert to fraction form
    152,442/404,635.50 = 404,635.50/x
  3. Step 3: Cross multiply
    152,442x = 404,635.50 × 404,635.50
  4. Step 4: Simplify right side
    152,442x = 163,729,887,860.25
  5. Step 5: Solve for x
    x = 163,729,887,860.25/152,442
  6. Step 6: Final answer
    x = 1,074,047.10

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.