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Finding the Third Proportional to 187,006 and 296,358

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Solution

The third proportional to 187,006 and 296,358 is: 469,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,006 : 296,358 = 296,358 : x
  2. Step 2: Convert to fraction form
    187,006/296,358 = 296,358/x
  3. Step 3: Cross multiply
    187,006x = 296,358 × 296,358
  4. Step 4: Simplify right side
    187,006x = 87,828,064,164
  5. Step 5: Solve for x
    x = 87,828,064,164/187,006
  6. Step 6: Final answer
    x = 469,653.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.