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Finding the Third Proportional to 164,051 and 253,347

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Solution

The third proportional to 164,051 and 253,347 is: 391,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,051 : 253,347 = 253,347 : x
  2. Step 2: Convert to fraction form
    164,051/253,347 = 253,347/x
  3. Step 3: Cross multiply
    164,051x = 253,347 × 253,347
  4. Step 4: Simplify right side
    164,051x = 64,184,702,409
  5. Step 5: Solve for x
    x = 64,184,702,409/164,051
  6. Step 6: Final answer
    x = 391,248.47

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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.