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Finding the Third Proportional to 160,417 and 348,546

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Solution

The third proportional to 160,417 and 348,546 is: 757,303.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,417 : 348,546 = 348,546 : x
  2. Step 2: Convert to fraction form
    160,417/348,546 = 348,546/x
  3. Step 3: Cross multiply
    160,417x = 348,546 × 348,546
  4. Step 4: Simplify right side
    160,417x = 121,484,314,116
  5. Step 5: Solve for x
    x = 121,484,314,116/160,417
  6. Step 6: Final answer
    x = 757,303.24

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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.