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Finding the Third Proportional to 167,247 and 360,729

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Solution

The third proportional to 167,247 and 360,729 is: 778,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,247 : 360,729 = 360,729 : x
  2. Step 2: Convert to fraction form
    167,247/360,729 = 360,729/x
  3. Step 3: Cross multiply
    167,247x = 360,729 × 360,729
  4. Step 4: Simplify right side
    167,247x = 130,125,411,441
  5. Step 5: Solve for x
    x = 130,125,411,441/167,247
  6. Step 6: Final answer
    x = 778,043.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.