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Finding the Third Proportional to 155,547 and 230,037

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Solution

The third proportional to 155,547 and 230,037 is: 340,199.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,547 : 230,037 = 230,037 : x
  2. Step 2: Convert to fraction form
    155,547/230,037 = 230,037/x
  3. Step 3: Cross multiply
    155,547x = 230,037 × 230,037
  4. Step 4: Simplify right side
    155,547x = 52,917,021,369
  5. Step 5: Solve for x
    x = 52,917,021,369/155,547
  6. Step 6: Final answer
    x = 340,199.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.