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Finding the Third Proportional to 149,136 and 307,023

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Solution

The third proportional to 149,136 and 307,023 is: 632,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,136 : 307,023 = 307,023 : x
  2. Step 2: Convert to fraction form
    149,136/307,023 = 307,023/x
  3. Step 3: Cross multiply
    149,136x = 307,023 × 307,023
  4. Step 4: Simplify right side
    149,136x = 94,263,122,529
  5. Step 5: Solve for x
    x = 94,263,122,529/149,136
  6. Step 6: Final answer
    x = 632,061.49

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.