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Finding the Third Proportional to 135,964 and 294,527

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Solution

The third proportional to 135,964 and 294,527 is: 638,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964 : 294,527 = 294,527 : x
  2. Step 2: Convert to fraction form
    135,964/294,527 = 294,527/x
  3. Step 3: Cross multiply
    135,964x = 294,527 × 294,527
  4. Step 4: Simplify right side
    135,964x = 86,746,153,729
  5. Step 5: Solve for x
    x = 86,746,153,729/135,964
  6. Step 6: Final answer
    x = 638,008.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.