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Finding the Third Proportional to 145,014 and 307,632

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Solution

The third proportional to 145,014 and 307,632 is: 652,609.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,014 : 307,632 = 307,632 : x
  2. Step 2: Convert to fraction form
    145,014/307,632 = 307,632/x
  3. Step 3: Cross multiply
    145,014x = 307,632 × 307,632
  4. Step 4: Simplify right side
    145,014x = 94,637,447,424
  5. Step 5: Solve for x
    x = 94,637,447,424/145,014
  6. Step 6: Final answer
    x = 652,609.04

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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.