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Finding the Third Proportional to 114,265 and 242,354

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Solution

The third proportional to 114,265 and 242,354 is: 514,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,265 : 242,354 = 242,354 : x
  2. Step 2: Convert to fraction form
    114,265/242,354 = 242,354/x
  3. Step 3: Cross multiply
    114,265x = 242,354 × 242,354
  4. Step 4: Simplify right side
    114,265x = 58,735,461,316
  5. Step 5: Solve for x
    x = 58,735,461,316/114,265
  6. Step 6: Final answer
    x = 514,028.45

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.