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Finding the Third Proportional to 152,310 and 334,986

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Solution

The third proportional to 152,310 and 334,986 is: 736,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,310 : 334,986 = 334,986 : x
  2. Step 2: Convert to fraction form
    152,310/334,986 = 334,986/x
  3. Step 3: Cross multiply
    152,310x = 334,986 × 334,986
  4. Step 4: Simplify right side
    152,310x = 112,215,620,196
  5. Step 5: Solve for x
    x = 112,215,620,196/152,310
  6. Step 6: Final answer
    x = 736,758.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.