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Finding the Third Proportional to 201,700 and 429,896

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Solution

The third proportional to 201,700 and 429,896 is: 916,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,700 : 429,896 = 429,896 : x
  2. Step 2: Convert to fraction form
    201,700/429,896 = 429,896/x
  3. Step 3: Cross multiply
    201,700x = 429,896 × 429,896
  4. Step 4: Simplify right side
    201,700x = 184,810,570,816
  5. Step 5: Solve for x
    x = 184,810,570,816/201,700
  6. Step 6: Final answer
    x = 916,264.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.