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Finding the Third Proportional to 152,294.50 and 334,964

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Solution

The third proportional to 152,294.50 and 334,964 is: 736,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,294.50 : 334,964 = 334,964 : x
  2. Step 2: Convert to fraction form
    152,294.50/334,964 = 334,964/x
  3. Step 3: Cross multiply
    152,294.50x = 334,964 × 334,964
  4. Step 4: Simplify right side
    152,294.50x = 112,200,881,296
  5. Step 5: Solve for x
    x = 112,200,881,296/152,294.50
  6. Step 6: Final answer
    x = 736,736.27

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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.