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Finding the Third Proportional to 153,993 and 334,290

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Solution

The third proportional to 153,993 and 334,290 is: 725,681.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,993 : 334,290 = 334,290 : x
  2. Step 2: Convert to fraction form
    153,993/334,290 = 334,290/x
  3. Step 3: Cross multiply
    153,993x = 334,290 × 334,290
  4. Step 4: Simplify right side
    153,993x = 111,749,804,100
  5. Step 5: Solve for x
    x = 111,749,804,100/153,993
  6. Step 6: Final answer
    x = 725,681.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.