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Finding the Third Proportional to 151,563 and 237,775.50

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Solution

The third proportional to 151,563 and 237,775.50 is: 373,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,563 : 237,775.50 = 237,775.50 : x
  2. Step 2: Convert to fraction form
    151,563/237,775.50 = 237,775.50/x
  3. Step 3: Cross multiply
    151,563x = 237,775.50 × 237,775.50
  4. Step 4: Simplify right side
    151,563x = 56,537,188,400.25
  5. Step 5: Solve for x
    x = 56,537,188,400.25/151,563
  6. Step 6: Final answer
    x = 373,027.64

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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.