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Finding the Third Proportional to 146,352 and 304,185

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Solution

The third proportional to 146,352 and 304,185 is: 632,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,352 : 304,185 = 304,185 : x
  2. Step 2: Convert to fraction form
    146,352/304,185 = 304,185/x
  3. Step 3: Cross multiply
    146,352x = 304,185 × 304,185
  4. Step 4: Simplify right side
    146,352x = 92,528,514,225
  5. Step 5: Solve for x
    x = 92,528,514,225/146,352
  6. Step 6: Final answer
    x = 632,232.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.