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Finding the Third Proportional to 152,784 and 328,970

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Solution

The third proportional to 152,784 and 328,970 is: 708,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,784 : 328,970 = 328,970 : x
  2. Step 2: Convert to fraction form
    152,784/328,970 = 328,970/x
  3. Step 3: Cross multiply
    152,784x = 328,970 × 328,970
  4. Step 4: Simplify right side
    152,784x = 108,221,260,900
  5. Step 5: Solve for x
    x = 108,221,260,900/152,784
  6. Step 6: Final answer
    x = 708,328.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.