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Finding the Third Proportional to 146,316 and 232,686

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Solution

The third proportional to 146,316 and 232,686 is: 370,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,316 : 232,686 = 232,686 : x
  2. Step 2: Convert to fraction form
    146,316/232,686 = 232,686/x
  3. Step 3: Cross multiply
    146,316x = 232,686 × 232,686
  4. Step 4: Simplify right side
    146,316x = 54,142,774,596
  5. Step 5: Solve for x
    x = 54,142,774,596/146,316
  6. Step 6: Final answer
    x = 370,040.01

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.