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Finding the Third Proportional to 111,174 and 243,428

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Solution

The third proportional to 111,174 and 243,428 is: 533,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,174 : 243,428 = 243,428 : x
  2. Step 2: Convert to fraction form
    111,174/243,428 = 243,428/x
  3. Step 3: Cross multiply
    111,174x = 243,428 × 243,428
  4. Step 4: Simplify right side
    111,174x = 59,257,191,184
  5. Step 5: Solve for x
    x = 59,257,191,184/111,174
  6. Step 6: Final answer
    x = 533,013.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.