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Finding the Third Proportional to 180,348 and 385,712

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Solution

The third proportional to 180,348 and 385,712 is: 824,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,348 : 385,712 = 385,712 : x
  2. Step 2: Convert to fraction form
    180,348/385,712 = 385,712/x
  3. Step 3: Cross multiply
    180,348x = 385,712 × 385,712
  4. Step 4: Simplify right side
    180,348x = 148,773,746,944
  5. Step 5: Solve for x
    x = 148,773,746,944/180,348
  6. Step 6: Final answer
    x = 824,925.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.