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Finding the Third Proportional to 113,547.75 and 238,857.75

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Solution

The third proportional to 113,547.75 and 238,857.75 is: 502,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,547.75 : 238,857.75 = 238,857.75 : x
  2. Step 2: Convert to fraction form
    113,547.75/238,857.75 = 238,857.75/x
  3. Step 3: Cross multiply
    113,547.75x = 238,857.75 × 238,857.75
  4. Step 4: Simplify right side
    113,547.75x = 57,053,024,735.06
  5. Step 5: Solve for x
    x = 57,053,024,735.06/113,547.75
  6. Step 6: Final answer
    x = 502,458.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.