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Finding the Third Proportional to 191,358 and 417,160

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Solution

The third proportional to 191,358 and 417,160 is: 909,407.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,358 : 417,160 = 417,160 : x
  2. Step 2: Convert to fraction form
    191,358/417,160 = 417,160/x
  3. Step 3: Cross multiply
    191,358x = 417,160 × 417,160
  4. Step 4: Simplify right side
    191,358x = 174,022,465,600
  5. Step 5: Solve for x
    x = 174,022,465,600/191,358
  6. Step 6: Final answer
    x = 909,407.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.