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Finding the Third Proportional to 179,964 and 390,996

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Solution

The third proportional to 179,964 and 390,996 is: 849,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 390,996 = 390,996 : x
  2. Step 2: Convert to fraction form
    179,964/390,996 = 390,996/x
  3. Step 3: Cross multiply
    179,964x = 390,996 × 390,996
  4. Step 4: Simplify right side
    179,964x = 152,877,872,016
  5. Step 5: Solve for x
    x = 152,877,872,016/179,964
  6. Step 6: Final answer
    x = 849,491.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.