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Finding the Third Proportional to 134,356.50 and 293,274

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Solution

The third proportional to 134,356.50 and 293,274 is: 640,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,356.50 : 293,274 = 293,274 : x
  2. Step 2: Convert to fraction form
    134,356.50/293,274 = 293,274/x
  3. Step 3: Cross multiply
    134,356.50x = 293,274 × 293,274
  4. Step 4: Simplify right side
    134,356.50x = 86,009,639,076
  5. Step 5: Solve for x
    x = 86,009,639,076/134,356.50
  6. Step 6: Final answer
    x = 640,159.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.