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Finding the Third Proportional to 158,490 and 324,266.63

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Solution

The third proportional to 158,490 and 324,266.63 is: 663,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,490 : 324,266.63 = 324,266.63 : x
  2. Step 2: Convert to fraction form
    158,490/324,266.63 = 324,266.63/x
  3. Step 3: Cross multiply
    158,490x = 324,266.63 × 324,266.63
  4. Step 4: Simplify right side
    158,490x = 105,148,844,088.89
  5. Step 5: Solve for x
    x = 105,148,844,088.89/158,490
  6. Step 6: Final answer
    x = 663,441.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.