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Finding the Third Proportional to 240,258 and 364,602

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Solution

The third proportional to 240,258 and 364,602 is: 553,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,258 : 364,602 = 364,602 : x
  2. Step 2: Convert to fraction form
    240,258/364,602 = 364,602/x
  3. Step 3: Cross multiply
    240,258x = 364,602 × 364,602
  4. Step 4: Simplify right side
    240,258x = 132,934,618,404
  5. Step 5: Solve for x
    x = 132,934,618,404/240,258
  6. Step 6: Final answer
    x = 553,299.45

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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.