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Finding the Third Proportional to 160,689 and 306,798

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Solution

The third proportional to 160,689 and 306,798 is: 585,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,689 : 306,798 = 306,798 : x
  2. Step 2: Convert to fraction form
    160,689/306,798 = 306,798/x
  3. Step 3: Cross multiply
    160,689x = 306,798 × 306,798
  4. Step 4: Simplify right side
    160,689x = 94,125,012,804
  5. Step 5: Solve for x
    x = 94,125,012,804/160,689
  6. Step 6: Final answer
    x = 585,758.91

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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.