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Finding the Third Proportional to 153,184 and 224,436

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Solution

The third proportional to 153,184 and 224,436 is: 328,830.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,184 : 224,436 = 224,436 : x
  2. Step 2: Convert to fraction form
    153,184/224,436 = 224,436/x
  3. Step 3: Cross multiply
    153,184x = 224,436 × 224,436
  4. Step 4: Simplify right side
    153,184x = 50,371,518,096
  5. Step 5: Solve for x
    x = 50,371,518,096/153,184
  6. Step 6: Final answer
    x = 328,830.15

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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.