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Finding the Third Proportional to 228,480 and 341,376

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Solution

The third proportional to 228,480 and 341,376 is: 510,055.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,480 : 341,376 = 341,376 : x
  2. Step 2: Convert to fraction form
    228,480/341,376 = 341,376/x
  3. Step 3: Cross multiply
    228,480x = 341,376 × 341,376
  4. Step 4: Simplify right side
    228,480x = 116,537,573,376
  5. Step 5: Solve for x
    x = 116,537,573,376/228,480
  6. Step 6: Final answer
    x = 510,055.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.