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Finding the Third Proportional to 249,008 and 357,952

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Solution

The third proportional to 249,008 and 357,952 is: 514,560.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,008 : 357,952 = 357,952 : x
  2. Step 2: Convert to fraction form
    249,008/357,952 = 357,952/x
  3. Step 3: Cross multiply
    249,008x = 357,952 × 357,952
  4. Step 4: Simplify right side
    249,008x = 128,129,634,304
  5. Step 5: Solve for x
    x = 128,129,634,304/249,008
  6. Step 6: Final answer
    x = 514,560.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.