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Finding the Third Proportional to 148,136 and 319,552

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Solution

The third proportional to 148,136 and 319,552 is: 689,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,136 : 319,552 = 319,552 : x
  2. Step 2: Convert to fraction form
    148,136/319,552 = 319,552/x
  3. Step 3: Cross multiply
    148,136x = 319,552 × 319,552
  4. Step 4: Simplify right side
    148,136x = 102,113,480,704
  5. Step 5: Solve for x
    x = 102,113,480,704/148,136
  6. Step 6: Final answer
    x = 689,322.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.