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Finding the Third Proportional to 174,938.06 and 270,140.06

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Solution

The third proportional to 174,938.06 and 270,140.06 is: 417,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,938.06 : 270,140.06 = 270,140.06 : x
  2. Step 2: Convert to fraction form
    174,938.06/270,140.06 = 270,140.06/x
  3. Step 3: Cross multiply
    174,938.06x = 270,140.06 × 270,140.06
  4. Step 4: Simplify right side
    174,938.06x = 72,975,653,367.50
  5. Step 5: Solve for x
    x = 72,975,653,367.50/174,938.06
  6. Step 6: Final answer
    x = 417,151.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.