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Finding the Third Proportional to 160,470 and 347,724

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Solution

The third proportional to 160,470 and 347,724 is: 753,486.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,470 : 347,724 = 347,724 : x
  2. Step 2: Convert to fraction form
    160,470/347,724 = 347,724/x
  3. Step 3: Cross multiply
    160,470x = 347,724 × 347,724
  4. Step 4: Simplify right side
    160,470x = 120,911,980,176
  5. Step 5: Solve for x
    x = 120,911,980,176/160,470
  6. Step 6: Final answer
    x = 753,486.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.