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Finding the Third Proportional to 146,184 and 319,440

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Solution

The third proportional to 146,184 and 319,440 is: 698,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,184 : 319,440 = 319,440 : x
  2. Step 2: Convert to fraction form
    146,184/319,440 = 319,440/x
  3. Step 3: Cross multiply
    146,184x = 319,440 × 319,440
  4. Step 4: Simplify right side
    146,184x = 102,041,913,600
  5. Step 5: Solve for x
    x = 102,041,913,600/146,184
  6. Step 6: Final answer
    x = 698,037.50

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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.