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Finding the Third Proportional to 162,258 and 348,504

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Solution

The third proportional to 162,258 and 348,504 is: 748,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,258 : 348,504 = 348,504 : x
  2. Step 2: Convert to fraction form
    162,258/348,504 = 348,504/x
  3. Step 3: Cross multiply
    162,258x = 348,504 × 348,504
  4. Step 4: Simplify right side
    162,258x = 121,455,038,016
  5. Step 5: Solve for x
    x = 121,455,038,016/162,258
  6. Step 6: Final answer
    x = 748,530.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.