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Finding the Third Proportional to 152,364 and 330,153

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Solution

The third proportional to 152,364 and 330,153 is: 715,398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,364 : 330,153 = 330,153 : x
  2. Step 2: Convert to fraction form
    152,364/330,153 = 330,153/x
  3. Step 3: Cross multiply
    152,364x = 330,153 × 330,153
  4. Step 4: Simplify right side
    152,364x = 109,001,003,409
  5. Step 5: Solve for x
    x = 109,001,003,409/152,364
  6. Step 6: Final answer
    x = 715,398.67

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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.