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Finding the Third Proportional to 176,272.88 and 257,026.50

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Solution

The third proportional to 176,272.88 and 257,026.50 is: 374,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,272.88 : 257,026.50 = 257,026.50 : x
  2. Step 2: Convert to fraction form
    176,272.88/257,026.50 = 257,026.50/x
  3. Step 3: Cross multiply
    176,272.88x = 257,026.50 × 257,026.50
  4. Step 4: Simplify right side
    176,272.88x = 66,062,621,702.25
  5. Step 5: Solve for x
    x = 66,062,621,702.25/176,272.88
  6. Step 6: Final answer
    x = 374,774.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.