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Finding the Third Proportional to 149,368 and 312,586

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Solution

The third proportional to 149,368 and 312,586 is: 654,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,368 : 312,586 = 312,586 : x
  2. Step 2: Convert to fraction form
    149,368/312,586 = 312,586/x
  3. Step 3: Cross multiply
    149,368x = 312,586 × 312,586
  4. Step 4: Simplify right side
    149,368x = 97,710,007,396
  5. Step 5: Solve for x
    x = 97,710,007,396/149,368
  6. Step 6: Final answer
    x = 654,156.23

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.