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Finding the Third Proportional to 152,402 and 334,970

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Solution

The third proportional to 152,402 and 334,970 is: 736,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,402 : 334,970 = 334,970 : x
  2. Step 2: Convert to fraction form
    152,402/334,970 = 334,970/x
  3. Step 3: Cross multiply
    152,402x = 334,970 × 334,970
  4. Step 4: Simplify right side
    152,402x = 112,204,900,900
  5. Step 5: Solve for x
    x = 112,204,900,900/152,402
  6. Step 6: Final answer
    x = 736,242.97

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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.