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Finding the Third Proportional to 164,078 and 253,118

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Solution

The third proportional to 164,078 and 253,118 is: 390,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,078 : 253,118 = 253,118 : x
  2. Step 2: Convert to fraction form
    164,078/253,118 = 253,118/x
  3. Step 3: Cross multiply
    164,078x = 253,118 × 253,118
  4. Step 4: Simplify right side
    164,078x = 64,068,721,924
  5. Step 5: Solve for x
    x = 64,068,721,924/164,078
  6. Step 6: Final answer
    x = 390,477.22

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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.