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Finding the Third Proportional to 164,035.13 and 253,312.31

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Solution

The third proportional to 164,035.13 and 253,312.31 is: 391,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,035.13 : 253,312.31 = 253,312.31 : x
  2. Step 2: Convert to fraction form
    164,035.13/253,312.31 = 253,312.31/x
  3. Step 3: Cross multiply
    164,035.13x = 253,312.31 × 253,312.31
  4. Step 4: Simplify right side
    164,035.13x = 64,167,127,664.10
  5. Step 5: Solve for x
    x = 64,167,127,664.10/164,035.13
  6. Step 6: Final answer
    x = 391,179.19

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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.