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Finding the Third Proportional to 139,160 and 304,576

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Solution

The third proportional to 139,160 and 304,576 is: 666,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,160 : 304,576 = 304,576 : x
  2. Step 2: Convert to fraction form
    139,160/304,576 = 304,576/x
  3. Step 3: Cross multiply
    139,160x = 304,576 × 304,576
  4. Step 4: Simplify right side
    139,160x = 92,766,539,776
  5. Step 5: Solve for x
    x = 92,766,539,776/139,160
  6. Step 6: Final answer
    x = 666,617.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.