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Finding the Third Proportional to 228,139 and 344,051

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Solution

The third proportional to 228,139 and 344,051 is: 518,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,139 : 344,051 = 344,051 : x
  2. Step 2: Convert to fraction form
    228,139/344,051 = 344,051/x
  3. Step 3: Cross multiply
    228,139x = 344,051 × 344,051
  4. Step 4: Simplify right side
    228,139x = 118,371,090,601
  5. Step 5: Solve for x
    x = 118,371,090,601/228,139
  6. Step 6: Final answer
    x = 518,855.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.