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Finding the Third Proportional to 153,180 and 224,430

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Solution

The third proportional to 153,180 and 224,430 is: 328,821.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,180 : 224,430 = 224,430 : x
  2. Step 2: Convert to fraction form
    153,180/224,430 = 224,430/x
  3. Step 3: Cross multiply
    153,180x = 224,430 × 224,430
  4. Step 4: Simplify right side
    153,180x = 50,368,824,900
  5. Step 5: Solve for x
    x = 50,368,824,900/153,180
  6. Step 6: Final answer
    x = 328,821.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.