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Finding the Third Proportional to 199,070 and 277,490

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Solution

The third proportional to 199,070 and 277,490 is: 386,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,070 : 277,490 = 277,490 : x
  2. Step 2: Convert to fraction form
    199,070/277,490 = 277,490/x
  3. Step 3: Cross multiply
    199,070x = 277,490 × 277,490
  4. Step 4: Simplify right side
    199,070x = 77,000,700,100
  5. Step 5: Solve for x
    x = 77,000,700,100/199,070
  6. Step 6: Final answer
    x = 386,802.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.