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Finding the Third Proportional to 148,750 and 208,056

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Solution

The third proportional to 148,750 and 208,056 is: 291,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,750 : 208,056 = 208,056 : x
  2. Step 2: Convert to fraction form
    148,750/208,056 = 208,056/x
  3. Step 3: Cross multiply
    148,750x = 208,056 × 208,056
  4. Step 4: Simplify right side
    148,750x = 43,287,299,136
  5. Step 5: Solve for x
    x = 43,287,299,136/148,750
  6. Step 6: Final answer
    x = 291,007.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.