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Finding the Third Proportional to 152,802 and 334,000

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Solution

The third proportional to 152,802 and 334,000 is: 730,068.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,802 : 334,000 = 334,000 : x
  2. Step 2: Convert to fraction form
    152,802/334,000 = 334,000/x
  3. Step 3: Cross multiply
    152,802x = 334,000 × 334,000
  4. Step 4: Simplify right side
    152,802x = 111,556,000,000
  5. Step 5: Solve for x
    x = 111,556,000,000/152,802
  6. Step 6: Final answer
    x = 730,068.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.