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Finding the Third Proportional to 183,403.13 and 386,714.25

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Solution

The third proportional to 183,403.13 and 386,714.25 is: 815,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,403.13 : 386,714.25 = 386,714.25 : x
  2. Step 2: Convert to fraction form
    183,403.13/386,714.25 = 386,714.25/x
  3. Step 3: Cross multiply
    183,403.13x = 386,714.25 × 386,714.25
  4. Step 4: Simplify right side
    183,403.13x = 149,547,911,153.06
  5. Step 5: Solve for x
    x = 149,547,911,153.06/183,403.13
  6. Step 6: Final answer
    x = 815,405.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.