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Finding the Third Proportional to 220,095 and 349,840.13

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Solution

The third proportional to 220,095 and 349,840.13 is: 556,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,095 : 349,840.13 = 349,840.13 : x
  2. Step 2: Convert to fraction form
    220,095/349,840.13 = 349,840.13/x
  3. Step 3: Cross multiply
    220,095x = 349,840.13 × 349,840.13
  4. Step 4: Simplify right side
    220,095x = 122,388,113,060.02
  5. Step 5: Solve for x
    x = 122,388,113,060.02/220,095
  6. Step 6: Final answer
    x = 556,069.48

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Why These Related Problems?

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