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Finding the Third Proportional to 146,188 and 319,428

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Solution

The third proportional to 146,188 and 319,428 is: 697,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,188 : 319,428 = 319,428 : x
  2. Step 2: Convert to fraction form
    146,188/319,428 = 319,428/x
  3. Step 3: Cross multiply
    146,188x = 319,428 × 319,428
  4. Step 4: Simplify right side
    146,188x = 102,034,247,184
  5. Step 5: Solve for x
    x = 102,034,247,184/146,188
  6. Step 6: Final answer
    x = 697,965.96

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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.