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Finding the Third Proportional to 112,358 and 247,312

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Solution

The third proportional to 112,358 and 247,312 is: 544,360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,358 : 247,312 = 247,312 : x
  2. Step 2: Convert to fraction form
    112,358/247,312 = 247,312/x
  3. Step 3: Cross multiply
    112,358x = 247,312 × 247,312
  4. Step 4: Simplify right side
    112,358x = 61,163,225,344
  5. Step 5: Solve for x
    x = 61,163,225,344/112,358
  6. Step 6: Final answer
    x = 544,360.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.