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Finding the Third Proportional to 152,645 and 330,714

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Solution

The third proportional to 152,645 and 330,714 is: 716,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,645 : 330,714 = 330,714 : x
  2. Step 2: Convert to fraction form
    152,645/330,714 = 330,714/x
  3. Step 3: Cross multiply
    152,645x = 330,714 × 330,714
  4. Step 4: Simplify right side
    152,645x = 109,371,749,796
  5. Step 5: Solve for x
    x = 109,371,749,796/152,645
  6. Step 6: Final answer
    x = 716,510.53

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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.