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Finding the Third Proportional to 152,960.63 and 328,064.06

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Solution

The third proportional to 152,960.63 and 328,064.06 is: 703,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,960.63 : 328,064.06 = 328,064.06 : x
  2. Step 2: Convert to fraction form
    152,960.63/328,064.06 = 328,064.06/x
  3. Step 3: Cross multiply
    152,960.63x = 328,064.06 × 328,064.06
  4. Step 4: Simplify right side
    152,960.63x = 107,626,029,104.00
  5. Step 5: Solve for x
    x = 107,626,029,104.00/152,960.63
  6. Step 6: Final answer
    x = 703,619.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.