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Finding the Third Proportional to 243,656.50 and 375,000

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Solution

The third proportional to 243,656.50 and 375,000 is: 577,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,656.50 : 375,000 = 375,000 : x
  2. Step 2: Convert to fraction form
    243,656.50/375,000 = 375,000/x
  3. Step 3: Cross multiply
    243,656.50x = 375,000 × 375,000
  4. Step 4: Simplify right side
    243,656.50x = 140,625,000,000
  5. Step 5: Solve for x
    x = 140,625,000,000/243,656.50
  6. Step 6: Final answer
    x = 577,144.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.