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Finding the Third Proportional to 134,434 and 295,076

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Solution

The third proportional to 134,434 and 295,076 is: 647,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,434 : 295,076 = 295,076 : x
  2. Step 2: Convert to fraction form
    134,434/295,076 = 295,076/x
  3. Step 3: Cross multiply
    134,434x = 295,076 × 295,076
  4. Step 4: Simplify right side
    134,434x = 87,069,845,776
  5. Step 5: Solve for x
    x = 87,069,845,776/134,434
  6. Step 6: Final answer
    x = 647,677.27

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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.