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Finding the Third Proportional to 145,362 and 196,335

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Solution

The third proportional to 145,362 and 196,335 is: 265,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,362 : 196,335 = 196,335 : x
  2. Step 2: Convert to fraction form
    145,362/196,335 = 196,335/x
  3. Step 3: Cross multiply
    145,362x = 196,335 × 196,335
  4. Step 4: Simplify right side
    145,362x = 38,547,432,225
  5. Step 5: Solve for x
    x = 38,547,432,225/145,362
  6. Step 6: Final answer
    x = 265,182.32

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.