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Finding the Third Proportional to 111,660 and 243,397.50

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Solution

The third proportional to 111,660 and 243,397.50 is: 530,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,660 : 243,397.50 = 243,397.50 : x
  2. Step 2: Convert to fraction form
    111,660/243,397.50 = 243,397.50/x
  3. Step 3: Cross multiply
    111,660x = 243,397.50 × 243,397.50
  4. Step 4: Simplify right side
    111,660x = 59,242,343,006.25
  5. Step 5: Solve for x
    x = 59,242,343,006.25/111,660
  6. Step 6: Final answer
    x = 530,560.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.