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Finding the Third Proportional to 164,854.50 and 257,125.50

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Solution

The third proportional to 164,854.50 and 257,125.50 is: 401,041.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,854.50 : 257,125.50 = 257,125.50 : x
  2. Step 2: Convert to fraction form
    164,854.50/257,125.50 = 257,125.50/x
  3. Step 3: Cross multiply
    164,854.50x = 257,125.50 × 257,125.50
  4. Step 4: Simplify right side
    164,854.50x = 66,113,522,750.25
  5. Step 5: Solve for x
    x = 66,113,522,750.25/164,854.50
  6. Step 6: Final answer
    x = 401,041.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.