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Finding the Third Proportional to 162,258 and 355,054

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Solution

The third proportional to 162,258 and 355,054 is: 776,931.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,258 : 355,054 = 355,054 : x
  2. Step 2: Convert to fraction form
    162,258/355,054 = 355,054/x
  3. Step 3: Cross multiply
    162,258x = 355,054 × 355,054
  4. Step 4: Simplify right side
    162,258x = 126,063,342,916
  5. Step 5: Solve for x
    x = 126,063,342,916/162,258
  6. Step 6: Final answer
    x = 776,931.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.