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Finding the Third Proportional to 162,337 and 249,661.50

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Solution

The third proportional to 162,337 and 249,661.50 is: 383,959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,337 : 249,661.50 = 249,661.50 : x
  2. Step 2: Convert to fraction form
    162,337/249,661.50 = 249,661.50/x
  3. Step 3: Cross multiply
    162,337x = 249,661.50 × 249,661.50
  4. Step 4: Simplify right side
    162,337x = 62,330,864,582.25
  5. Step 5: Solve for x
    x = 62,330,864,582.25/162,337
  6. Step 6: Final answer
    x = 383,959.69

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