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Finding the Third Proportional to 134,160 and 294,240

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Solution

The third proportional to 134,160 and 294,240 is: 645,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,160 : 294,240 = 294,240 : x
  2. Step 2: Convert to fraction form
    134,160/294,240 = 294,240/x
  3. Step 3: Cross multiply
    134,160x = 294,240 × 294,240
  4. Step 4: Simplify right side
    134,160x = 86,577,177,600
  5. Step 5: Solve for x
    x = 86,577,177,600/134,160
  6. Step 6: Final answer
    x = 645,327.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.