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Finding the Third Proportional to 162,527.63 and 242,070.19

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Solution

The third proportional to 162,527.63 and 242,070.19 is: 360,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,527.63 : 242,070.19 = 242,070.19 : x
  2. Step 2: Convert to fraction form
    162,527.63/242,070.19 = 242,070.19/x
  3. Step 3: Cross multiply
    162,527.63x = 242,070.19 × 242,070.19
  4. Step 4: Simplify right side
    162,527.63x = 58,597,975,676.29
  5. Step 5: Solve for x
    x = 58,597,975,676.29/162,527.63
  6. Step 6: Final answer
    x = 360,541.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.