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Finding the Third Proportional to 207,248 and 429,224

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Solution

The third proportional to 207,248 and 429,224 is: 888,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,248 : 429,224 = 429,224 : x
  2. Step 2: Convert to fraction form
    207,248/429,224 = 429,224/x
  3. Step 3: Cross multiply
    207,248x = 429,224 × 429,224
  4. Step 4: Simplify right side
    207,248x = 184,233,242,176
  5. Step 5: Solve for x
    x = 184,233,242,176/207,248
  6. Step 6: Final answer
    x = 888,950.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.