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Finding the Third Proportional to 134,173 and 287,133

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Solution

The third proportional to 134,173 and 287,133 is: 614,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,173 : 287,133 = 287,133 : x
  2. Step 2: Convert to fraction form
    134,173/287,133 = 287,133/x
  3. Step 3: Cross multiply
    134,173x = 287,133 × 287,133
  4. Step 4: Simplify right side
    134,173x = 82,445,359,689
  5. Step 5: Solve for x
    x = 82,445,359,689/134,173
  6. Step 6: Final answer
    x = 614,470.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.