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Finding the Third Proportional to 176,235.75 and 283,702.50

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Solution

The third proportional to 176,235.75 and 283,702.50 is: 456,701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,235.75 : 283,702.50 = 283,702.50 : x
  2. Step 2: Convert to fraction form
    176,235.75/283,702.50 = 283,702.50/x
  3. Step 3: Cross multiply
    176,235.75x = 283,702.50 × 283,702.50
  4. Step 4: Simplify right side
    176,235.75x = 80,487,108,506.25
  5. Step 5: Solve for x
    x = 80,487,108,506.25/176,235.75
  6. Step 6: Final answer
    x = 456,701.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.