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Finding the Third Proportional to 72,307.50 and 155,714.63

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Solution

The third proportional to 72,307.50 and 155,714.63 is: 335,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,307.50 : 155,714.63 = 155,714.63 : x
  2. Step 2: Convert to fraction form
    72,307.50/155,714.63 = 155,714.63/x
  3. Step 3: Cross multiply
    72,307.50x = 155,714.63 × 155,714.63
  4. Step 4: Simplify right side
    72,307.50x = 24,247,044,438.89
  5. Step 5: Solve for x
    x = 24,247,044,438.89/72,307.50
  6. Step 6: Final answer
    x = 335,332.36

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