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Finding the Third Proportional to 145,215 and 308,056.50

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Solution

The third proportional to 145,215 and 308,056.50 is: 653,505.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,215 : 308,056.50 = 308,056.50 : x
  2. Step 2: Convert to fraction form
    145,215/308,056.50 = 308,056.50/x
  3. Step 3: Cross multiply
    145,215x = 308,056.50 × 308,056.50
  4. Step 4: Simplify right side
    145,215x = 94,898,807,192.25
  5. Step 5: Solve for x
    x = 94,898,807,192.25/145,215
  6. Step 6: Final answer
    x = 653,505.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.