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Finding the Third Proportional to 136,458 and 210,528

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Solution

The third proportional to 136,458 and 210,528 is: 324,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,458 : 210,528 = 210,528 : x
  2. Step 2: Convert to fraction form
    136,458/210,528 = 210,528/x
  3. Step 3: Cross multiply
    136,458x = 210,528 × 210,528
  4. Step 4: Simplify right side
    136,458x = 44,322,038,784
  5. Step 5: Solve for x
    x = 44,322,038,784/136,458
  6. Step 6: Final answer
    x = 324,803.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.