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Finding the Third Proportional to 152,919 and 325,525.50

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Solution

The third proportional to 152,919 and 325,525.50 is: 692,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,919 : 325,525.50 = 325,525.50 : x
  2. Step 2: Convert to fraction form
    152,919/325,525.50 = 325,525.50/x
  3. Step 3: Cross multiply
    152,919x = 325,525.50 × 325,525.50
  4. Step 4: Simplify right side
    152,919x = 105,966,851,150.25
  5. Step 5: Solve for x
    x = 105,966,851,150.25/152,919
  6. Step 6: Final answer
    x = 692,960.66

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