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Finding the Third Proportional to 242,716.95 and 364,075.45

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Solution

The third proportional to 242,716.95 and 364,075.45 is: 546,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.95 : 364,075.45 = 364,075.45 : x
  2. Step 2: Convert to fraction form
    242,716.95/364,075.45 = 364,075.45/x
  3. Step 3: Cross multiply
    242,716.95x = 364,075.45 × 364,075.45
  4. Step 4: Simplify right side
    242,716.95x = 132,550,935,568.17
  5. Step 5: Solve for x
    x = 132,550,935,568.17/242,716.95
  6. Step 6: Final answer
    x = 546,113.23

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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.