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Finding the Third Proportional to 223,461 and 314,821.50

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Solution

The third proportional to 223,461 and 314,821.50 is: 443,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,461 : 314,821.50 = 314,821.50 : x
  2. Step 2: Convert to fraction form
    223,461/314,821.50 = 314,821.50/x
  3. Step 3: Cross multiply
    223,461x = 314,821.50 × 314,821.50
  4. Step 4: Simplify right side
    223,461x = 99,112,576,862.25
  5. Step 5: Solve for x
    x = 99,112,576,862.25/223,461
  6. Step 6: Final answer
    x = 443,534.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.