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Finding the Third Proportional to 237,141 and 513,961.50

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Solution

The third proportional to 237,141 and 513,961.50 is: 1,113,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,141 : 513,961.50 = 513,961.50 : x
  2. Step 2: Convert to fraction form
    237,141/513,961.50 = 513,961.50/x
  3. Step 3: Cross multiply
    237,141x = 513,961.50 × 513,961.50
  4. Step 4: Simplify right side
    237,141x = 264,156,423,482.25
  5. Step 5: Solve for x
    x = 264,156,423,482.25/237,141
  6. Step 6: Final answer
    x = 1,113,921.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.