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Finding the Third Proportional to 163,906 and 253,136

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Solution

The third proportional to 163,906 and 253,136 is: 390,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,906 : 253,136 = 253,136 : x
  2. Step 2: Convert to fraction form
    163,906/253,136 = 253,136/x
  3. Step 3: Cross multiply
    163,906x = 253,136 × 253,136
  4. Step 4: Simplify right side
    163,906x = 64,077,834,496
  5. Step 5: Solve for x
    x = 64,077,834,496/163,906
  6. Step 6: Final answer
    x = 390,942.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.