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Finding the Third Proportional to 166,534 and 245,391

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Solution

The third proportional to 166,534 and 245,391 is: 361,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,534 : 245,391 = 245,391 : x
  2. Step 2: Convert to fraction form
    166,534/245,391 = 245,391/x
  3. Step 3: Cross multiply
    166,534x = 245,391 × 245,391
  4. Step 4: Simplify right side
    166,534x = 60,216,742,881
  5. Step 5: Solve for x
    x = 60,216,742,881/166,534
  6. Step 6: Final answer
    x = 361,588.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.