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Finding the Third Proportional to 148,381 and 358,956

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Solution

The third proportional to 148,381 and 358,956 is: 868,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,381 : 358,956 = 358,956 : x
  2. Step 2: Convert to fraction form
    148,381/358,956 = 358,956/x
  3. Step 3: Cross multiply
    148,381x = 358,956 × 358,956
  4. Step 4: Simplify right side
    148,381x = 128,849,409,936
  5. Step 5: Solve for x
    x = 128,849,409,936/148,381
  6. Step 6: Final answer
    x = 868,368.66

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.