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Finding the Third Proportional to 111,567.38 and 242,817.75

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Solution

The third proportional to 111,567.38 and 242,817.75 is: 528,474.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,567.38 : 242,817.75 = 242,817.75 : x
  2. Step 2: Convert to fraction form
    111,567.38/242,817.75 = 242,817.75/x
  3. Step 3: Cross multiply
    111,567.38x = 242,817.75 × 242,817.75
  4. Step 4: Simplify right side
    111,567.38x = 58,960,459,715.06
  5. Step 5: Solve for x
    x = 58,960,459,715.06/111,567.38
  6. Step 6: Final answer
    x = 528,474.02

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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.