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Finding the Third Proportional to 152,700 and 230,724

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Solution

The third proportional to 152,700 and 230,724 is: 348,615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,700 : 230,724 = 230,724 : x
  2. Step 2: Convert to fraction form
    152,700/230,724 = 230,724/x
  3. Step 3: Cross multiply
    152,700x = 230,724 × 230,724
  4. Step 4: Simplify right side
    152,700x = 53,233,564,176
  5. Step 5: Solve for x
    x = 53,233,564,176/152,700
  6. Step 6: Final answer
    x = 348,615.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.