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Finding the Third Proportional to 155,927.25 and 328,154.63

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Solution

The third proportional to 155,927.25 and 328,154.63 is: 690,613.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,927.25 : 328,154.63 = 328,154.63 : x
  2. Step 2: Convert to fraction form
    155,927.25/328,154.63 = 328,154.63/x
  3. Step 3: Cross multiply
    155,927.25x = 328,154.63 × 328,154.63
  4. Step 4: Simplify right side
    155,927.25x = 107,685,457,908.89
  5. Step 5: Solve for x
    x = 107,685,457,908.89/155,927.25
  6. Step 6: Final answer
    x = 690,613.46

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.