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Finding the Third Proportional to 306,166.50 and 482,730

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Solution

The third proportional to 306,166.50 and 482,730 is: 761,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,166.50 : 482,730 = 482,730 : x
  2. Step 2: Convert to fraction form
    306,166.50/482,730 = 482,730/x
  3. Step 3: Cross multiply
    306,166.50x = 482,730 × 482,730
  4. Step 4: Simplify right side
    306,166.50x = 233,028,252,900
  5. Step 5: Solve for x
    x = 233,028,252,900/306,166.50
  6. Step 6: Final answer
    x = 761,116.10

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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.