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Finding the Third Proportional to 164,148 and 257,130

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Solution

The third proportional to 164,148 and 257,130 is: 402,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,148 : 257,130 = 257,130 : x
  2. Step 2: Convert to fraction form
    164,148/257,130 = 257,130/x
  3. Step 3: Cross multiply
    164,148x = 257,130 × 257,130
  4. Step 4: Simplify right side
    164,148x = 66,115,836,900
  5. Step 5: Solve for x
    x = 66,115,836,900/164,148
  6. Step 6: Final answer
    x = 402,781.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.