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Finding the Third Proportional to 210,871.50 and 455,422.50

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Solution

The third proportional to 210,871.50 and 455,422.50 is: 983,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,871.50 : 455,422.50 = 455,422.50 : x
  2. Step 2: Convert to fraction form
    210,871.50/455,422.50 = 455,422.50/x
  3. Step 3: Cross multiply
    210,871.50x = 455,422.50 × 455,422.50
  4. Step 4: Simplify right side
    210,871.50x = 207,409,653,506.25
  5. Step 5: Solve for x
    x = 207,409,653,506.25/210,871.50
  6. Step 6: Final answer
    x = 983,583.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.