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Finding the Third Proportional to 170,748 and 256,672.13

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Solution

The third proportional to 170,748 and 256,672.13 is: 385,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,748 : 256,672.13 = 256,672.13 : x
  2. Step 2: Convert to fraction form
    170,748/256,672.13 = 256,672.13/x
  3. Step 3: Cross multiply
    170,748x = 256,672.13 × 256,672.13
  4. Step 4: Simplify right side
    170,748x = 65,880,579,752.02
  5. Step 5: Solve for x
    x = 65,880,579,752.02/170,748
  6. Step 6: Final answer
    x = 385,835.15

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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.