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Finding the Third Proportional to 169,259.63 and 257,222.25

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Solution

The third proportional to 169,259.63 and 257,222.25 is: 390,898.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,259.63 : 257,222.25 = 257,222.25 : x
  2. Step 2: Convert to fraction form
    169,259.63/257,222.25 = 257,222.25/x
  3. Step 3: Cross multiply
    169,259.63x = 257,222.25 × 257,222.25
  4. Step 4: Simplify right side
    169,259.63x = 66,163,285,895.06
  5. Step 5: Solve for x
    x = 66,163,285,895.06/169,259.63
  6. Step 6: Final answer
    x = 390,898.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.