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Finding the Third Proportional to 160,714 and 306,842

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Solution

The third proportional to 160,714 and 306,842 is: 585,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,714 : 306,842 = 306,842 : x
  2. Step 2: Convert to fraction form
    160,714/306,842 = 306,842/x
  3. Step 3: Cross multiply
    160,714x = 306,842 × 306,842
  4. Step 4: Simplify right side
    160,714x = 94,152,012,964
  5. Step 5: Solve for x
    x = 94,152,012,964/160,714
  6. Step 6: Final answer
    x = 585,835.79

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.