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Finding the Third Proportional to 151,526 and 319,027

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Solution

The third proportional to 151,526 and 319,027 is: 671,688.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,526 : 319,027 = 319,027 : x
  2. Step 2: Convert to fraction form
    151,526/319,027 = 319,027/x
  3. Step 3: Cross multiply
    151,526x = 319,027 × 319,027
  4. Step 4: Simplify right side
    151,526x = 101,778,226,729
  5. Step 5: Solve for x
    x = 101,778,226,729/151,526
  6. Step 6: Final answer
    x = 671,688.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.