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Finding the Third Proportional to 197,358 and 432,210

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Solution

The third proportional to 197,358 and 432,210 is: 946,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,358 : 432,210 = 432,210 : x
  2. Step 2: Convert to fraction form
    197,358/432,210 = 432,210/x
  3. Step 3: Cross multiply
    197,358x = 432,210 × 432,210
  4. Step 4: Simplify right side
    197,358x = 186,805,484,100
  5. Step 5: Solve for x
    x = 186,805,484,100/197,358
  6. Step 6: Final answer
    x = 946,531.10

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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.