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Finding the Third Proportional to 160,971 and 349,643.50

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Solution

The third proportional to 160,971 and 349,643.50 is: 759,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,971 : 349,643.50 = 349,643.50 : x
  2. Step 2: Convert to fraction form
    160,971/349,643.50 = 349,643.50/x
  3. Step 3: Cross multiply
    160,971x = 349,643.50 × 349,643.50
  4. Step 4: Simplify right side
    160,971x = 122,250,577,092.25
  5. Step 5: Solve for x
    x = 122,250,577,092.25/160,971
  6. Step 6: Final answer
    x = 759,457.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.