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Finding the Third Proportional to 235,207.50 and 353,340

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Solution

The third proportional to 235,207.50 and 353,340 is: 530,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,207.50 : 353,340 = 353,340 : x
  2. Step 2: Convert to fraction form
    235,207.50/353,340 = 353,340/x
  3. Step 3: Cross multiply
    235,207.50x = 353,340 × 353,340
  4. Step 4: Simplify right side
    235,207.50x = 124,849,155,600
  5. Step 5: Solve for x
    x = 124,849,155,600/235,207.50
  6. Step 6: Final answer
    x = 530,804.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.