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Finding the Third Proportional to 72,582.19 and 156,287.63

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Solution

The third proportional to 72,582.19 and 156,287.63 is: 336,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582.19 : 156,287.63 = 156,287.63 : x
  2. Step 2: Convert to fraction form
    72,582.19/156,287.63 = 156,287.63/x
  3. Step 3: Cross multiply
    72,582.19x = 156,287.63 × 156,287.63
  4. Step 4: Simplify right side
    72,582.19x = 24,425,821,728.14
  5. Step 5: Solve for x
    x = 24,425,821,728.14/72,582.19
  6. Step 6: Final answer
    x = 336,526.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.