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Finding the Third Proportional to 152,899.50 and 325,482

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Solution

The third proportional to 152,899.50 and 325,482 is: 692,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,899.50 : 325,482 = 325,482 : x
  2. Step 2: Convert to fraction form
    152,899.50/325,482 = 325,482/x
  3. Step 3: Cross multiply
    152,899.50x = 325,482 × 325,482
  4. Step 4: Simplify right side
    152,899.50x = 105,938,532,324
  5. Step 5: Solve for x
    x = 105,938,532,324/152,899.50
  6. Step 6: Final answer
    x = 692,863.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.