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Finding the Third Proportional to 213,075.50 and 459,952

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Solution

The third proportional to 213,075.50 and 459,952 is: 992,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,075.50 : 459,952 = 459,952 : x
  2. Step 2: Convert to fraction form
    213,075.50/459,952 = 459,952/x
  3. Step 3: Cross multiply
    213,075.50x = 459,952 × 459,952
  4. Step 4: Simplify right side
    213,075.50x = 211,555,842,304
  5. Step 5: Solve for x
    x = 211,555,842,304/213,075.50
  6. Step 6: Final answer
    x = 992,867.98

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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.