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Finding the Third Proportional to 173,585 and 360,991

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Solution

The third proportional to 173,585 and 360,991 is: 750,724.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,585 : 360,991 = 360,991 : x
  2. Step 2: Convert to fraction form
    173,585/360,991 = 360,991/x
  3. Step 3: Cross multiply
    173,585x = 360,991 × 360,991
  4. Step 4: Simplify right side
    173,585x = 130,314,502,081
  5. Step 5: Solve for x
    x = 130,314,502,081/173,585
  6. Step 6: Final answer
    x = 750,724.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.