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Finding the Third Proportional to 154,665 and 235,237.50

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Solution

The third proportional to 154,665 and 235,237.50 is: 357,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,665 : 235,237.50 = 235,237.50 : x
  2. Step 2: Convert to fraction form
    154,665/235,237.50 = 235,237.50/x
  3. Step 3: Cross multiply
    154,665x = 235,237.50 × 235,237.50
  4. Step 4: Simplify right side
    154,665x = 55,336,681,406.25
  5. Step 5: Solve for x
    x = 55,336,681,406.25/154,665
  6. Step 6: Final answer
    x = 357,784.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.