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Finding the Third Proportional to 164,060 and 253,014

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Solution

The third proportional to 164,060 and 253,014 is: 390,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,060 : 253,014 = 253,014 : x
  2. Step 2: Convert to fraction form
    164,060/253,014 = 253,014/x
  3. Step 3: Cross multiply
    164,060x = 253,014 × 253,014
  4. Step 4: Simplify right side
    164,060x = 64,016,084,196
  5. Step 5: Solve for x
    x = 64,016,084,196/164,060
  6. Step 6: Final answer
    x = 390,199.22

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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.