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Finding the Third Proportional to 213,748 and 456,098

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Solution

The third proportional to 213,748 and 456,098 is: 973,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,748 : 456,098 = 456,098 : x
  2. Step 2: Convert to fraction form
    213,748/456,098 = 456,098/x
  3. Step 3: Cross multiply
    213,748x = 456,098 × 456,098
  4. Step 4: Simplify right side
    213,748x = 208,025,385,604
  5. Step 5: Solve for x
    x = 208,025,385,604/213,748
  6. Step 6: Final answer
    x = 973,227.28

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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.