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Finding the Third Proportional to 64,653.19 and 156,028.78

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Solution

The third proportional to 64,653.19 and 156,028.78 is: 376,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,653.19 : 156,028.78 = 156,028.78 : x
  2. Step 2: Convert to fraction form
    64,653.19/156,028.78 = 156,028.78/x
  3. Step 3: Cross multiply
    64,653.19x = 156,028.78 × 156,028.78
  4. Step 4: Simplify right side
    64,653.19x = 24,344,980,578.36
  5. Step 5: Solve for x
    x = 24,344,980,578.36/64,653.19
  6. Step 6: Final answer
    x = 376,547.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.