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Finding the Third Proportional to 156,368.50 and 341,411

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Solution

The third proportional to 156,368.50 and 341,411 is: 745,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,368.50 : 341,411 = 341,411 : x
  2. Step 2: Convert to fraction form
    156,368.50/341,411 = 341,411/x
  3. Step 3: Cross multiply
    156,368.50x = 341,411 × 341,411
  4. Step 4: Simplify right side
    156,368.50x = 116,561,470,921
  5. Step 5: Solve for x
    x = 116,561,470,921/156,368.50
  6. Step 6: Final answer
    x = 745,428.08

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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.