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Finding the Third Proportional to 164,032 and 260,808

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Solution

The third proportional to 164,032 and 260,808 is: 414,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,032 : 260,808 = 260,808 : x
  2. Step 2: Convert to fraction form
    164,032/260,808 = 260,808/x
  3. Step 3: Cross multiply
    164,032x = 260,808 × 260,808
  4. Step 4: Simplify right side
    164,032x = 68,020,812,864
  5. Step 5: Solve for x
    x = 68,020,812,864/164,032
  6. Step 6: Final answer
    x = 414,680.14

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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.