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Finding the Third Proportional to 164,062.13 and 257,029.88

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Solution

The third proportional to 164,062.13 and 257,029.88 is: 402,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,062.13 : 257,029.88 = 257,029.88 : x
  2. Step 2: Convert to fraction form
    164,062.13/257,029.88 = 257,029.88/x
  3. Step 3: Cross multiply
    164,062.13x = 257,029.88 × 257,029.88
  4. Step 4: Simplify right side
    164,062.13x = 66,064,356,642.52
  5. Step 5: Solve for x
    x = 66,064,356,642.52/164,062.13
  6. Step 6: Final answer
    x = 402,678.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.