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Finding the Third Proportional to 160,720 and 306,854

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Solution

The third proportional to 160,720 and 306,854 is: 585,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,720 : 306,854 = 306,854 : x
  2. Step 2: Convert to fraction form
    160,720/306,854 = 306,854/x
  3. Step 3: Cross multiply
    160,720x = 306,854 × 306,854
  4. Step 4: Simplify right side
    160,720x = 94,159,377,316
  5. Step 5: Solve for x
    x = 94,159,377,316/160,720
  6. Step 6: Final answer
    x = 585,859.74

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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.