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Finding the Third Proportional to 152,332 and 243,258

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Solution

The third proportional to 152,332 and 243,258 is: 388,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,332 : 243,258 = 243,258 : x
  2. Step 2: Convert to fraction form
    152,332/243,258 = 243,258/x
  3. Step 3: Cross multiply
    152,332x = 243,258 × 243,258
  4. Step 4: Simplify right side
    152,332x = 59,174,454,564
  5. Step 5: Solve for x
    x = 59,174,454,564/152,332
  6. Step 6: Final answer
    x = 388,457.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.