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Finding the Third Proportional to 111,577 and 242,840

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Solution

The third proportional to 111,577 and 242,840 is: 528,525.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,577 : 242,840 = 242,840 : x
  2. Step 2: Convert to fraction form
    111,577/242,840 = 242,840/x
  3. Step 3: Cross multiply
    111,577x = 242,840 × 242,840
  4. Step 4: Simplify right side
    111,577x = 58,971,265,600
  5. Step 5: Solve for x
    x = 58,971,265,600/111,577
  6. Step 6: Final answer
    x = 528,525.28

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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.