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Finding the Third Proportional to 161,307 and 247,531.50

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Solution

The third proportional to 161,307 and 247,531.50 is: 379,846.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,307 : 247,531.50 = 247,531.50 : x
  2. Step 2: Convert to fraction form
    161,307/247,531.50 = 247,531.50/x
  3. Step 3: Cross multiply
    161,307x = 247,531.50 × 247,531.50
  4. Step 4: Simplify right side
    161,307x = 61,271,843,492.25
  5. Step 5: Solve for x
    x = 61,271,843,492.25/161,307
  6. Step 6: Final answer
    x = 379,846.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.