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Finding the Third Proportional to 164,034.75 and 256,987.50

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Solution

The third proportional to 164,034.75 and 256,987.50 is: 402,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,034.75 : 256,987.50 = 256,987.50 : x
  2. Step 2: Convert to fraction form
    164,034.75/256,987.50 = 256,987.50/x
  3. Step 3: Cross multiply
    164,034.75x = 256,987.50 × 256,987.50
  4. Step 4: Simplify right side
    164,034.75x = 66,042,575,156.25
  5. Step 5: Solve for x
    x = 66,042,575,156.25/164,034.75
  6. Step 6: Final answer
    x = 402,613.32

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Why These Related Problems?

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