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Finding the Third Proportional to 234,967.50 and 366,486.75

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Solution

The third proportional to 234,967.50 and 366,486.75 is: 571,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,967.50 : 366,486.75 = 366,486.75 : x
  2. Step 2: Convert to fraction form
    234,967.50/366,486.75 = 366,486.75/x
  3. Step 3: Cross multiply
    234,967.50x = 366,486.75 × 366,486.75
  4. Step 4: Simplify right side
    234,967.50x = 134,312,537,925.56
  5. Step 5: Solve for x
    x = 134,312,537,925.56/234,967.50
  6. Step 6: Final answer
    x = 571,621.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.