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Finding the Third Proportional to 162,429.75 and 249,987.94

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Solution

The third proportional to 162,429.75 and 249,987.94 is: 384,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,429.75 : 249,987.94 = 249,987.94 : x
  2. Step 2: Convert to fraction form
    162,429.75/249,987.94 = 249,987.94/x
  3. Step 3: Cross multiply
    162,429.75x = 249,987.94 × 249,987.94
  4. Step 4: Simplify right side
    162,429.75x = 62,493,968,895.50
  5. Step 5: Solve for x
    x = 62,493,968,895.50/162,429.75
  6. Step 6: Final answer
    x = 384,744.60

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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.