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Finding the Third Proportional to 145,068 and 307,552

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Solution

The third proportional to 145,068 and 307,552 is: 652,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,068 : 307,552 = 307,552 : x
  2. Step 2: Convert to fraction form
    145,068/307,552 = 307,552/x
  3. Step 3: Cross multiply
    145,068x = 307,552 × 307,552
  4. Step 4: Simplify right side
    145,068x = 94,588,232,704
  5. Step 5: Solve for x
    x = 94,588,232,704/145,068
  6. Step 6: Final answer
    x = 652,026.86

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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.