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Finding the Third Proportional to 195,748 and 302,470

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Solution

The third proportional to 195,748 and 302,470 is: 467,376.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,748 : 302,470 = 302,470 : x
  2. Step 2: Convert to fraction form
    195,748/302,470 = 302,470/x
  3. Step 3: Cross multiply
    195,748x = 302,470 × 302,470
  4. Step 4: Simplify right side
    195,748x = 91,488,100,900
  5. Step 5: Solve for x
    x = 91,488,100,900/195,748
  6. Step 6: Final answer
    x = 467,376.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.