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Finding the Third Proportional to 160,653 and 348,961.63

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Solution

The third proportional to 160,653 and 348,961.63 is: 757,995.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,653 : 348,961.63 = 348,961.63 : x
  2. Step 2: Convert to fraction form
    160,653/348,961.63 = 348,961.63/x
  3. Step 3: Cross multiply
    160,653x = 348,961.63 × 348,961.63
  4. Step 4: Simplify right side
    160,653x = 121,774,215,722.64
  5. Step 5: Solve for x
    x = 121,774,215,722.64/160,653
  6. Step 6: Final answer
    x = 757,995.28

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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.