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Finding the Third Proportional to 153,025 and 230,124

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Solution

The third proportional to 153,025 and 230,124 is: 346,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,025 : 230,124 = 230,124 : x
  2. Step 2: Convert to fraction form
    153,025/230,124 = 230,124/x
  3. Step 3: Cross multiply
    153,025x = 230,124 × 230,124
  4. Step 4: Simplify right side
    153,025x = 52,957,055,376
  5. Step 5: Solve for x
    x = 52,957,055,376/153,025
  6. Step 6: Final answer
    x = 346,068.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.