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Finding the Third Proportional to 242,716.90 and 364,075.38

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Solution

The third proportional to 242,716.90 and 364,075.38 is: 546,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.90 : 364,075.38 = 364,075.38 : x
  2. Step 2: Convert to fraction form
    242,716.90/364,075.38 = 364,075.38/x
  3. Step 3: Cross multiply
    242,716.90x = 364,075.38 × 364,075.38
  4. Step 4: Simplify right side
    242,716.90x = 132,550,884,370.07
  5. Step 5: Solve for x
    x = 132,550,884,370.07/242,716.90
  6. Step 6: Final answer
    x = 546,113.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.