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Finding the Third Proportional to 98,484 and 208,784

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Solution

The third proportional to 98,484 and 208,784 is: 442,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,484 : 208,784 = 208,784 : x
  2. Step 2: Convert to fraction form
    98,484/208,784 = 208,784/x
  3. Step 3: Cross multiply
    98,484x = 208,784 × 208,784
  4. Step 4: Simplify right side
    98,484x = 43,590,758,656
  5. Step 5: Solve for x
    x = 43,590,758,656/98,484
  6. Step 6: Final answer
    x = 442,617.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.