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Finding the Third Proportional to 134,176 and 294,272

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Solution

The third proportional to 134,176 and 294,272 is: 645,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,176 : 294,272 = 294,272 : x
  2. Step 2: Convert to fraction form
    134,176/294,272 = 294,272/x
  3. Step 3: Cross multiply
    134,176x = 294,272 × 294,272
  4. Step 4: Simplify right side
    134,176x = 86,596,009,984
  5. Step 5: Solve for x
    x = 86,596,009,984/134,176
  6. Step 6: Final answer
    x = 645,391.20

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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.