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Finding the Third Proportional to 146,590 and 323,804

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Solution

The third proportional to 146,590 and 323,804 is: 715,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,590 : 323,804 = 323,804 : x
  2. Step 2: Convert to fraction form
    146,590/323,804 = 323,804/x
  3. Step 3: Cross multiply
    146,590x = 323,804 × 323,804
  4. Step 4: Simplify right side
    146,590x = 104,849,030,416
  5. Step 5: Solve for x
    x = 104,849,030,416/146,590
  6. Step 6: Final answer
    x = 715,253.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.