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Finding the Third Proportional to 160,136 and 239,308

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Solution

The third proportional to 160,136 and 239,308 is: 357,623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,136 : 239,308 = 239,308 : x
  2. Step 2: Convert to fraction form
    160,136/239,308 = 239,308/x
  3. Step 3: Cross multiply
    160,136x = 239,308 × 239,308
  4. Step 4: Simplify right side
    160,136x = 57,268,318,864
  5. Step 5: Solve for x
    x = 57,268,318,864/160,136
  6. Step 6: Final answer
    x = 357,623.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.