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Finding the Third Proportional to 242,833 and 367,637

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Solution

The third proportional to 242,833 and 367,637 is: 556,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,833 : 367,637 = 367,637 : x
  2. Step 2: Convert to fraction form
    242,833/367,637 = 367,637/x
  3. Step 3: Cross multiply
    242,833x = 367,637 × 367,637
  4. Step 4: Simplify right side
    242,833x = 135,156,963,769
  5. Step 5: Solve for x
    x = 135,156,963,769/242,833
  6. Step 6: Final answer
    x = 556,584.01

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