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Finding the Third Proportional to 220,378.50 and 349,431.75

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Solution

The third proportional to 220,378.50 and 349,431.75 is: 554,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,378.50 : 349,431.75 = 349,431.75 : x
  2. Step 2: Convert to fraction form
    220,378.50/349,431.75 = 349,431.75/x
  3. Step 3: Cross multiply
    220,378.50x = 349,431.75 × 349,431.75
  4. Step 4: Simplify right side
    220,378.50x = 122,102,547,908.06
  5. Step 5: Solve for x
    x = 122,102,547,908.06/220,378.50
  6. Step 6: Final answer
    x = 554,058.35

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.