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Finding the Third Proportional to 134,046 and 294,659

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Solution

The third proportional to 134,046 and 294,659 is: 647,717.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,046 : 294,659 = 294,659 : x
  2. Step 2: Convert to fraction form
    134,046/294,659 = 294,659/x
  3. Step 3: Cross multiply
    134,046x = 294,659 × 294,659
  4. Step 4: Simplify right side
    134,046x = 86,823,926,281
  5. Step 5: Solve for x
    x = 86,823,926,281/134,046
  6. Step 6: Final answer
    x = 647,717.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.