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Finding the Third Proportional to 235,086 and 358,136

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Solution

The third proportional to 235,086 and 358,136 is: 545,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,086 : 358,136 = 358,136 : x
  2. Step 2: Convert to fraction form
    235,086/358,136 = 358,136/x
  3. Step 3: Cross multiply
    235,086x = 358,136 × 358,136
  4. Step 4: Simplify right side
    235,086x = 128,261,394,496
  5. Step 5: Solve for x
    x = 128,261,394,496/235,086
  6. Step 6: Final answer
    x = 545,593.50

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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.