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Finding the Third Proportional to 112,964 and 241,440

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Solution

The third proportional to 112,964 and 241,440 is: 516,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,964 : 241,440 = 241,440 : x
  2. Step 2: Convert to fraction form
    112,964/241,440 = 241,440/x
  3. Step 3: Cross multiply
    112,964x = 241,440 × 241,440
  4. Step 4: Simplify right side
    112,964x = 58,293,273,600
  5. Step 5: Solve for x
    x = 58,293,273,600/112,964
  6. Step 6: Final answer
    x = 516,034.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.