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Finding the Third Proportional to 166,142 and 248,547

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Solution

The third proportional to 166,142 and 248,547 is: 371,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,142 : 248,547 = 248,547 : x
  2. Step 2: Convert to fraction form
    166,142/248,547 = 248,547/x
  3. Step 3: Cross multiply
    166,142x = 248,547 × 248,547
  4. Step 4: Simplify right side
    166,142x = 61,775,611,209
  5. Step 5: Solve for x
    x = 61,775,611,209/166,142
  6. Step 6: Final answer
    x = 371,824.17

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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.