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Finding the Third Proportional to 166,024 and 249,206

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Solution

The third proportional to 166,024 and 249,206 is: 374,064.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,024 : 249,206 = 249,206 : x
  2. Step 2: Convert to fraction form
    166,024/249,206 = 249,206/x
  3. Step 3: Cross multiply
    166,024x = 249,206 × 249,206
  4. Step 4: Simplify right side
    166,024x = 62,103,630,436
  5. Step 5: Solve for x
    x = 62,103,630,436/166,024
  6. Step 6: Final answer
    x = 374,064.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.