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Finding the Third Proportional to 145,312 and 225,096

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Solution

The third proportional to 145,312 and 225,096 is: 348,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,312 : 225,096 = 225,096 : x
  2. Step 2: Convert to fraction form
    145,312/225,096 = 225,096/x
  3. Step 3: Cross multiply
    145,312x = 225,096 × 225,096
  4. Step 4: Simplify right side
    145,312x = 50,668,209,216
  5. Step 5: Solve for x
    x = 50,668,209,216/145,312
  6. Step 6: Final answer
    x = 348,685.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.