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Finding the Third Proportional to 130,764 and 207,174

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Solution

The third proportional to 130,764 and 207,174 is: 328,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,764 : 207,174 = 207,174 : x
  2. Step 2: Convert to fraction form
    130,764/207,174 = 207,174/x
  3. Step 3: Cross multiply
    130,764x = 207,174 × 207,174
  4. Step 4: Simplify right side
    130,764x = 42,921,066,276
  5. Step 5: Solve for x
    x = 42,921,066,276/130,764
  6. Step 6: Final answer
    x = 328,233.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.