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Finding the Third Proportional to 145,364 and 224,530

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Solution

The third proportional to 145,364 and 224,530 is: 346,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364 : 224,530 = 224,530 : x
  2. Step 2: Convert to fraction form
    145,364/224,530 = 224,530/x
  3. Step 3: Cross multiply
    145,364x = 224,530 × 224,530
  4. Step 4: Simplify right side
    145,364x = 50,413,720,900
  5. Step 5: Solve for x
    x = 50,413,720,900/145,364
  6. Step 6: Final answer
    x = 346,810.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.