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Finding the Third Proportional to 144,371 and 304,537

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Solution

The third proportional to 144,371 and 304,537 is: 642,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,371 : 304,537 = 304,537 : x
  2. Step 2: Convert to fraction form
    144,371/304,537 = 304,537/x
  3. Step 3: Cross multiply
    144,371x = 304,537 × 304,537
  4. Step 4: Simplify right side
    144,371x = 92,742,784,369
  5. Step 5: Solve for x
    x = 92,742,784,369/144,371
  6. Step 6: Final answer
    x = 642,392.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.