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Finding the Third Proportional to 112,306 and 245,712

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Solution

The third proportional to 112,306 and 245,712 is: 537,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,306 : 245,712 = 245,712 : x
  2. Step 2: Convert to fraction form
    112,306/245,712 = 245,712/x
  3. Step 3: Cross multiply
    112,306x = 245,712 × 245,712
  4. Step 4: Simplify right side
    112,306x = 60,374,386,944
  5. Step 5: Solve for x
    x = 60,374,386,944/112,306
  6. Step 6: Final answer
    x = 537,588.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.