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Finding the Third Proportional to 306,160.50 and 482,721

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Solution

The third proportional to 306,160.50 and 482,721 is: 761,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,160.50 : 482,721 = 482,721 : x
  2. Step 2: Convert to fraction form
    306,160.50/482,721 = 482,721/x
  3. Step 3: Cross multiply
    306,160.50x = 482,721 × 482,721
  4. Step 4: Simplify right side
    306,160.50x = 233,019,563,841
  5. Step 5: Solve for x
    x = 233,019,563,841/306,160.50
  6. Step 6: Final answer
    x = 761,102.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.