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Finding the Third Proportional to 154,417 and 333,437

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Solution

The third proportional to 154,417 and 333,437 is: 719,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,417 : 333,437 = 333,437 : x
  2. Step 2: Convert to fraction form
    154,417/333,437 = 333,437/x
  3. Step 3: Cross multiply
    154,417x = 333,437 × 333,437
  4. Step 4: Simplify right side
    154,417x = 111,180,232,969
  5. Step 5: Solve for x
    x = 111,180,232,969/154,417
  6. Step 6: Final answer
    x = 719,999.95

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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.