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Finding the Third Proportional to 155,312 and 330,976

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Solution

The third proportional to 155,312 and 330,976 is: 705,322.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,312 : 330,976 = 330,976 : x
  2. Step 2: Convert to fraction form
    155,312/330,976 = 330,976/x
  3. Step 3: Cross multiply
    155,312x = 330,976 × 330,976
  4. Step 4: Simplify right side
    155,312x = 109,545,112,576
  5. Step 5: Solve for x
    x = 109,545,112,576/155,312
  6. Step 6: Final answer
    x = 705,322.92

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.