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Finding the Third Proportional to 200,700 and 310,044

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Solution

The third proportional to 200,700 and 310,044 is: 478,960.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,700 : 310,044 = 310,044 : x
  2. Step 2: Convert to fraction form
    200,700/310,044 = 310,044/x
  3. Step 3: Cross multiply
    200,700x = 310,044 × 310,044
  4. Step 4: Simplify right side
    200,700x = 96,127,281,936
  5. Step 5: Solve for x
    x = 96,127,281,936/200,700
  6. Step 6: Final answer
    x = 478,960.05

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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.