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Finding the Third Proportional to 113,527 and 243,354

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Solution

The third proportional to 113,527 and 243,354 is: 521,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,527 : 243,354 = 243,354 : x
  2. Step 2: Convert to fraction form
    113,527/243,354 = 243,354/x
  3. Step 3: Cross multiply
    113,527x = 243,354 × 243,354
  4. Step 4: Simplify right side
    113,527x = 59,221,169,316
  5. Step 5: Solve for x
    x = 59,221,169,316/113,527
  6. Step 6: Final answer
    x = 521,648.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.