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Finding the Third Proportional to 210,547.69 and 274,610.25

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Solution

The third proportional to 210,547.69 and 274,610.25 is: 358,164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,547.69 : 274,610.25 = 274,610.25 : x
  2. Step 2: Convert to fraction form
    210,547.69/274,610.25 = 274,610.25/x
  3. Step 3: Cross multiply
    210,547.69x = 274,610.25 × 274,610.25
  4. Step 4: Simplify right side
    210,547.69x = 75,410,789,405.06
  5. Step 5: Solve for x
    x = 75,410,789,405.06/210,547.69
  6. Step 6: Final answer
    x = 358,164.89

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.