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Finding the Third Proportional to 174,290 and 377,887

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Solution

The third proportional to 174,290 and 377,887 is: 819,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,290 : 377,887 = 377,887 : x
  2. Step 2: Convert to fraction form
    174,290/377,887 = 377,887/x
  3. Step 3: Cross multiply
    174,290x = 377,887 × 377,887
  4. Step 4: Simplify right side
    174,290x = 142,798,584,769
  5. Step 5: Solve for x
    x = 142,798,584,769/174,290
  6. Step 6: Final answer
    x = 819,316.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.