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Finding the Third Proportional to 194,748 and 300,720

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Solution

The third proportional to 194,748 and 300,720 is: 464,356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,748 : 300,720 = 300,720 : x
  2. Step 2: Convert to fraction form
    194,748/300,720 = 300,720/x
  3. Step 3: Cross multiply
    194,748x = 300,720 × 300,720
  4. Step 4: Simplify right side
    194,748x = 90,432,518,400
  5. Step 5: Solve for x
    x = 90,432,518,400/194,748
  6. Step 6: Final answer
    x = 464,356.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.