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Finding the Third Proportional to 70,695.75 and 152,458.50

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Solution

The third proportional to 70,695.75 and 152,458.50 is: 328,783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,695.75 : 152,458.50 = 152,458.50 : x
  2. Step 2: Convert to fraction form
    70,695.75/152,458.50 = 152,458.50/x
  3. Step 3: Cross multiply
    70,695.75x = 152,458.50 × 152,458.50
  4. Step 4: Simplify right side
    70,695.75x = 23,243,594,222.25
  5. Step 5: Solve for x
    x = 23,243,594,222.25/70,695.75
  6. Step 6: Final answer
    x = 328,783.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.