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Finding the Third Proportional to 155,209.50 and 237,325.50

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Solution

The third proportional to 155,209.50 and 237,325.50 is: 362,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,209.50 : 237,325.50 = 237,325.50 : x
  2. Step 2: Convert to fraction form
    155,209.50/237,325.50 = 237,325.50/x
  3. Step 3: Cross multiply
    155,209.50x = 237,325.50 × 237,325.50
  4. Step 4: Simplify right side
    155,209.50x = 56,323,392,950.25
  5. Step 5: Solve for x
    x = 56,323,392,950.25/155,209.50
  6. Step 6: Final answer
    x = 362,886.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.