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Finding the Third Proportional to 242,826 and 368,613

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Solution

The third proportional to 242,826 and 368,613 is: 559,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,826 : 368,613 = 368,613 : x
  2. Step 2: Convert to fraction form
    242,826/368,613 = 368,613/x
  3. Step 3: Cross multiply
    242,826x = 368,613 × 368,613
  4. Step 4: Simplify right side
    242,826x = 135,875,543,769
  5. Step 5: Solve for x
    x = 135,875,543,769/242,826
  6. Step 6: Final answer
    x = 559,559.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.