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Finding the Third Proportional to 156,225 and 233,315.06

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Solution

The third proportional to 156,225 and 233,315.06 is: 348,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,225 : 233,315.06 = 233,315.06 : x
  2. Step 2: Convert to fraction form
    156,225/233,315.06 = 233,315.06/x
  3. Step 3: Cross multiply
    156,225x = 233,315.06 × 233,315.06
  4. Step 4: Simplify right side
    156,225x = 54,435,918,389.38
  5. Step 5: Solve for x
    x = 54,435,918,389.38/156,225
  6. Step 6: Final answer
    x = 348,445.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.