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Finding the Third Proportional to 151,509 and 235,248

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Solution

The third proportional to 151,509 and 235,248 is: 365,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,509 : 235,248 = 235,248 : x
  2. Step 2: Convert to fraction form
    151,509/235,248 = 235,248/x
  3. Step 3: Cross multiply
    151,509x = 235,248 × 235,248
  4. Step 4: Simplify right side
    151,509x = 55,341,621,504
  5. Step 5: Solve for x
    x = 55,341,621,504/151,509
  6. Step 6: Final answer
    x = 365,269.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.