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Finding the Third Proportional to 164,080 and 253,119

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Solution

The third proportional to 164,080 and 253,119 is: 390,475.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,080 : 253,119 = 253,119 : x
  2. Step 2: Convert to fraction form
    164,080/253,119 = 253,119/x
  3. Step 3: Cross multiply
    164,080x = 253,119 × 253,119
  4. Step 4: Simplify right side
    164,080x = 64,069,228,161
  5. Step 5: Solve for x
    x = 64,069,228,161/164,080
  6. Step 6: Final answer
    x = 390,475.55

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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.