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Finding the Third Proportional to 172,337.63 and 364,547.25

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Solution

The third proportional to 172,337.63 and 364,547.25 is: 771,129.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,337.63 : 364,547.25 = 364,547.25 : x
  2. Step 2: Convert to fraction form
    172,337.63/364,547.25 = 364,547.25/x
  3. Step 3: Cross multiply
    172,337.63x = 364,547.25 × 364,547.25
  4. Step 4: Simplify right side
    172,337.63x = 132,894,697,482.56
  5. Step 5: Solve for x
    x = 132,894,697,482.56/172,337.63
  6. Step 6: Final answer
    x = 771,129.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.