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Finding the Third Proportional to 200,360 and 423,076

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Solution

The third proportional to 200,360 and 423,076 is: 893,358.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360 : 423,076 = 423,076 : x
  2. Step 2: Convert to fraction form
    200,360/423,076 = 423,076/x
  3. Step 3: Cross multiply
    200,360x = 423,076 × 423,076
  4. Step 4: Simplify right side
    200,360x = 178,993,301,776
  5. Step 5: Solve for x
    x = 178,993,301,776/200,360
  6. Step 6: Final answer
    x = 893,358.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.